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Finding the Fourth Proportional to 486,254,661.60, 728,762,677.20 and 198,715,461.60

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Solution

The fourth proportional to 486,254,661.60, 728,762,677.20 and 198,715,461.60 is: 297,820,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,254,661.60 : 728,762,677.20 = 198,715,461.60 : x
  2. Step 2: Convert to fraction form
    486,254,661.60/728,762,677.20 = 198,715,461.60/x
  3. Step 3: Cross multiply
    486,254,661.60x = 728,762,677.20 × 198,715,461.60
  4. Step 4: Simplify right side
    486,254,661.60x = 144,816,411,796,649,792
  5. Step 5: Solve for x
    x = 144,816,411,796,649,792/486,254,661.60
  6. Step 6: Final answer
    x = 297,820,099.70

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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.