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Finding the Fourth Proportional to 100,294,718.60, 140,125,627.90 and 100,294,718.60

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Solution

The fourth proportional to 100,294,718.60, 140,125,627.90 and 100,294,718.60 is: 140,125,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294,718.60 : 140,125,627.90 = 100,294,718.60 : x
  2. Step 2: Convert to fraction form
    100,294,718.60/140,125,627.90 = 100,294,718.60/x
  3. Step 3: Cross multiply
    100,294,718.60x = 140,125,627.90 × 100,294,718.60
  4. Step 4: Simplify right side
    100,294,718.60x = 14,053,860,418,878,808
  5. Step 5: Solve for x
    x = 14,053,860,418,878,808/100,294,718.60
  6. Step 6: Final answer
    x = 140,125,627.90

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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.