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Finding the Fourth Proportional to 687,991,513.20, 965,909,096.40 and 687,991,513.20

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Solution

The fourth proportional to 687,991,513.20, 965,909,096.40 and 687,991,513.20 is: 965,909,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,991,513.20 : 965,909,096.40 = 687,991,513.20 : x
  2. Step 2: Convert to fraction form
    687,991,513.20/965,909,096.40 = 687,991,513.20/x
  3. Step 3: Cross multiply
    687,991,513.20x = 965,909,096.40 × 687,991,513.20
  4. Step 4: Simplify right side
    687,991,513.20x = 664,537,260,845,880,704
  5. Step 5: Solve for x
    x = 664,537,260,845,880,704/687,991,513.20
  6. Step 6: Final answer
    x = 965,909,096.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.