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Finding the Fourth Proportional to 561,636,998.40, 840,943,843.20 and 561,636,998.40

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Solution

The fourth proportional to 561,636,998.40, 840,943,843.20 and 561,636,998.40 is: 840,943,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,636,998.40 : 840,943,843.20 = 561,636,998.40 : x
  2. Step 2: Convert to fraction form
    561,636,998.40/840,943,843.20 = 561,636,998.40/x
  3. Step 3: Cross multiply
    561,636,998.40x = 840,943,843.20 × 561,636,998.40
  4. Step 4: Simplify right side
    561,636,998.40x = 472,305,175,917,808,256
  5. Step 5: Solve for x
    x = 472,305,175,917,808,256/561,636,998.40
  6. Step 6: Final answer
    x = 840,943,843.20

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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.