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Finding the Fourth Proportional to 259,697,583,008.70, 389,546,374,513.06 and 259,697,583,008.70

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Solution

The fourth proportional to 259,697,583,008.70, 389,546,374,513.06 and 259,697,583,008.70 is: 389,546,374,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,583,008.70 : 389,546,374,513.06 = 259,697,583,008.70 : x
  2. Step 2: Convert to fraction form
    259,697,583,008.70/389,546,374,513.06 = 259,697,583,008.70/x
  3. Step 3: Cross multiply
    259,697,583,008.70x = 389,546,374,513.06 × 259,697,583,008.70
  4. Step 4: Simplify right side
    259,697,583,008.70x = 101,164,251,930,843,534,065,664
  5. Step 5: Solve for x
    x = 101,164,251,930,843,534,065,664/259,697,583,008.70
  6. Step 6: Final answer
    x = 389,546,374,513.06

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.