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Finding the Fourth Proportional to 259,697,581,385.40, 389,546,372,078.10 and 259,697,581,385.40

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Solution

The fourth proportional to 259,697,581,385.40, 389,546,372,078.10 and 259,697,581,385.40 is: 389,546,372,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,581,385.40 : 389,546,372,078.10 = 259,697,581,385.40 : x
  2. Step 2: Convert to fraction form
    259,697,581,385.40/389,546,372,078.10 = 259,697,581,385.40/x
  3. Step 3: Cross multiply
    259,697,581,385.40x = 389,546,372,078.10 × 259,697,581,385.40
  4. Step 4: Simplify right side
    259,697,581,385.40x = 101,164,250,666,139,679,457,280
  5. Step 5: Solve for x
    x = 101,164,250,666,139,679,457,280/259,697,581,385.40
  6. Step 6: Final answer
    x = 389,546,372,078.10

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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.