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Finding the Fourth Proportional to 472,406,527.80, 708,609,791.70 and 165,729,641.40

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Solution

The fourth proportional to 472,406,527.80, 708,609,791.70 and 165,729,641.40 is: 248,594,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,406,527.80 : 708,609,791.70 = 165,729,641.40 : x
  2. Step 2: Convert to fraction form
    472,406,527.80/708,609,791.70 = 165,729,641.40/x
  3. Step 3: Cross multiply
    472,406,527.80x = 708,609,791.70 × 165,729,641.40
  4. Step 4: Simplify right side
    472,406,527.80x = 117,437,646,670,969,712
  5. Step 5: Solve for x
    x = 117,437,646,670,969,712/472,406,527.80
  6. Step 6: Final answer
    x = 248,594,462.10

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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.