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Finding the Fourth Proportional to 484,429,341.70, 726,644,012.55 and 484,429,341.70

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Solution

The fourth proportional to 484,429,341.70, 726,644,012.55 and 484,429,341.70 is: 726,644,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,429,341.70 : 726,644,012.55 = 484,429,341.70 : x
  2. Step 2: Convert to fraction form
    484,429,341.70/726,644,012.55 = 484,429,341.70/x
  3. Step 3: Cross multiply
    484,429,341.70x = 726,644,012.55 × 484,429,341.70
  4. Step 4: Simplify right side
    484,429,341.70x = 352,007,680,649,843,008
  5. Step 5: Solve for x
    x = 352,007,680,649,843,008/484,429,341.70
  6. Step 6: Final answer
    x = 726,644,012.55

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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.