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Finding the Fourth Proportional to 411,194,497.60, 616,791,746.40 and 393,054,644.80

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Solution

The fourth proportional to 411,194,497.60, 616,791,746.40 and 393,054,644.80 is: 589,581,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,194,497.60 : 616,791,746.40 = 393,054,644.80 : x
  2. Step 2: Convert to fraction form
    411,194,497.60/616,791,746.40 = 393,054,644.80/x
  3. Step 3: Cross multiply
    411,194,497.60x = 616,791,746.40 × 393,054,644.80
  4. Step 4: Simplify right side
    411,194,497.60x = 242,432,860,796,823,680
  5. Step 5: Solve for x
    x = 242,432,860,796,823,680/411,194,497.60
  6. Step 6: Final answer
    x = 589,581,967.20

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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.