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Finding the Fourth Proportional to 664,411,411.70, 996,617,117.55 and 509,443,216.10

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Solution

The fourth proportional to 664,411,411.70, 996,617,117.55 and 509,443,216.10 is: 764,164,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,411,411.70 : 996,617,117.55 = 509,443,216.10 : x
  2. Step 2: Convert to fraction form
    664,411,411.70/996,617,117.55 = 509,443,216.10/x
  3. Step 3: Cross multiply
    664,411,411.70x = 996,617,117.55 × 509,443,216.10
  4. Step 4: Simplify right side
    664,411,411.70x = 507,719,829,584,983,744
  5. Step 5: Solve for x
    x = 507,719,829,584,983,744/664,411,411.70
  6. Step 6: Final answer
    x = 764,164,824.15

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Double scale
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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.