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Finding the Fourth Proportional to 395,113,944.80, 592,733,902.80 and 164,964,562.40

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Solution

The fourth proportional to 395,113,944.80, 592,733,902.80 and 164,964,562.40 is: 247,473,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,113,944.80 : 592,733,902.80 = 164,964,562.40 : x
  2. Step 2: Convert to fraction form
    395,113,944.80/592,733,902.80 = 164,964,562.40/x
  3. Step 3: Cross multiply
    395,113,944.80x = 592,733,902.80 × 164,964,562.40
  4. Step 4: Simplify right side
    395,113,944.80x = 97,780,088,895,046,128
  5. Step 5: Solve for x
    x = 97,780,088,895,046,128/395,113,944.80
  6. Step 6: Final answer
    x = 247,473,140.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.