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Finding the Fourth Proportional to 232,581,873.80, 348,872,810.70 and 160,022,462.60

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Solution

The fourth proportional to 232,581,873.80, 348,872,810.70 and 160,022,462.60 is: 240,033,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,581,873.80 : 348,872,810.70 = 160,022,462.60 : x
  2. Step 2: Convert to fraction form
    232,581,873.80/348,872,810.70 = 160,022,462.60/x
  3. Step 3: Cross multiply
    232,581,873.80x = 348,872,810.70 × 160,022,462.60
  4. Step 4: Simplify right side
    232,581,873.80x = 55,827,486,302,397,624
  5. Step 5: Solve for x
    x = 55,827,486,302,397,624/232,581,873.80
  6. Step 6: Final answer
    x = 240,033,693.90

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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.