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Finding the Fourth Proportional to 98,664,404.80, 147,996,607.20 and 97,152,750.40

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Solution

The fourth proportional to 98,664,404.80, 147,996,607.20 and 97,152,750.40 is: 145,729,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,664,404.80 : 147,996,607.20 = 97,152,750.40 : x
  2. Step 2: Convert to fraction form
    98,664,404.80/147,996,607.20 = 97,152,750.40/x
  3. Step 3: Cross multiply
    98,664,404.80x = 147,996,607.20 × 97,152,750.40
  4. Step 4: Simplify right side
    98,664,404.80x = 14,378,277,439,348,442
  5. Step 5: Solve for x
    x = 14,378,277,439,348,442/98,664,404.80
  6. Step 6: Final answer
    x = 145,729,125.60

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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.