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Finding the Fourth Proportional to 472,187,802.80, 708,281,704.20 and 149,029,684.40

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Solution

The fourth proportional to 472,187,802.80, 708,281,704.20 and 149,029,684.40 is: 223,544,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,187,802.80 : 708,281,704.20 = 149,029,684.40 : x
  2. Step 2: Convert to fraction form
    472,187,802.80/708,281,704.20 = 149,029,684.40/x
  3. Step 3: Cross multiply
    472,187,802.80x = 708,281,704.20 × 149,029,684.40
  4. Step 4: Simplify right side
    472,187,802.80x = 105,554,998,843,220,160
  5. Step 5: Solve for x
    x = 105,554,998,843,220,160/472,187,802.80
  6. Step 6: Final answer
    x = 223,544,526.60

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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.