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Finding the Fourth Proportional to 474,984,030.80, 711,342,305.40 and 474,984,030.80

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Solution

The fourth proportional to 474,984,030.80, 711,342,305.40 and 474,984,030.80 is: 711,342,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,984,030.80 : 711,342,305.40 = 474,984,030.80 : x
  2. Step 2: Convert to fraction form
    474,984,030.80/711,342,305.40 = 474,984,030.80/x
  3. Step 3: Cross multiply
    474,984,030.80x = 711,342,305.40 × 474,984,030.80
  4. Step 4: Simplify right side
    474,984,030.80x = 337,876,235,497,456,576
  5. Step 5: Solve for x
    x = 337,876,235,497,456,576/474,984,030.80
  6. Step 6: Final answer
    x = 711,342,305.40

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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.