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Finding the Fourth Proportional to 259,697,580,308.40, 389,546,370,462.66 and 259,697,580,308.40

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Solution

The fourth proportional to 259,697,580,308.40, 389,546,370,462.66 and 259,697,580,308.40 is: 389,546,370,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,580,308.40 : 389,546,370,462.66 = 259,697,580,308.40 : x
  2. Step 2: Convert to fraction form
    259,697,580,308.40/389,546,370,462.66 = 259,697,580,308.40/x
  3. Step 3: Cross multiply
    259,697,580,308.40x = 389,546,370,462.66 × 259,697,580,308.40
  4. Step 4: Simplify right side
    259,697,580,308.40x = 101,164,249,827,072,368,705,536
  5. Step 5: Solve for x
    x = 101,164,249,827,072,368,705,536/259,697,580,308.40
  6. Step 6: Final answer
    x = 389,546,370,462.66

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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.