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Finding the Fourth Proportional to 472,187,802.30, 708,281,703.45 and 149,029,683.90

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Solution

The fourth proportional to 472,187,802.30, 708,281,703.45 and 149,029,683.90 is: 223,544,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,187,802.30 : 708,281,703.45 = 149,029,683.90 : x
  2. Step 2: Convert to fraction form
    472,187,802.30/708,281,703.45 = 149,029,683.90/x
  3. Step 3: Cross multiply
    472,187,802.30x = 708,281,703.45 × 149,029,683.90
  4. Step 4: Simplify right side
    472,187,802.30x = 105,554,998,377,307,056
  5. Step 5: Solve for x
    x = 105,554,998,377,307,056/472,187,802.30
  6. Step 6: Final answer
    x = 223,544,525.85

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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.