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Finding the Fourth Proportional to 242,644,223.60, 363,966,335.40 and 182,178,047.60

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Solution

The fourth proportional to 242,644,223.60, 363,966,335.40 and 182,178,047.60 is: 273,267,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,644,223.60 : 363,966,335.40 = 182,178,047.60 : x
  2. Step 2: Convert to fraction form
    242,644,223.60/363,966,335.40 = 182,178,047.60/x
  3. Step 3: Cross multiply
    242,644,223.60x = 363,966,335.40 × 182,178,047.60
  4. Step 4: Simplify right side
    242,644,223.60x = 66,306,676,375,298,760
  5. Step 5: Solve for x
    x = 66,306,676,375,298,760/242,644,223.60
  6. Step 6: Final answer
    x = 273,267,071.40

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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.