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Finding the Fourth Proportional to 71,746,643.10, 100,636,619.10 and 71,746,643.10

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Solution

The fourth proportional to 71,746,643.10, 100,636,619.10 and 71,746,643.10 is: 100,636,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,746,643.10 : 100,636,619.10 = 71,746,643.10 : x
  2. Step 2: Convert to fraction form
    71,746,643.10/100,636,619.10 = 71,746,643.10/x
  3. Step 3: Cross multiply
    71,746,643.10x = 100,636,619.10 × 71,746,643.10
  4. Step 4: Simplify right side
    71,746,643.10x = 7,220,339,593,358,342
  5. Step 5: Solve for x
    x = 7,220,339,593,358,342/71,746,643.10
  6. Step 6: Final answer
    x = 100,636,619.10

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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.