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Finding the Fourth Proportional to 561,648,000.40, 840,960,346.20 and 561,648,000.40

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Solution

The fourth proportional to 561,648,000.40, 840,960,346.20 and 561,648,000.40 is: 840,960,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,648,000.40 : 840,960,346.20 = 561,648,000.40 : x
  2. Step 2: Convert to fraction form
    561,648,000.40/840,960,346.20 = 561,648,000.40/x
  3. Step 3: Cross multiply
    561,648,000.40x = 840,960,346.20 × 561,648,000.40
  4. Step 4: Simplify right side
    561,648,000.40x = 472,323,696,858,921,728
  5. Step 5: Solve for x
    x = 472,323,696,858,921,728/561,648,000.40
  6. Step 6: Final answer
    x = 840,960,346.20

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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.