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Finding the Fourth Proportional to 475,668,601.20, 713,502,901.80 and 475,668,601.20

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Solution

The fourth proportional to 475,668,601.20, 713,502,901.80 and 475,668,601.20 is: 713,502,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,668,601.20 : 713,502,901.80 = 475,668,601.20 : x
  2. Step 2: Convert to fraction form
    475,668,601.20/713,502,901.80 = 475,668,601.20/x
  3. Step 3: Cross multiply
    475,668,601.20x = 713,502,901.80 × 475,668,601.20
  4. Step 4: Simplify right side
    475,668,601.20x = 339,390,927,251,346,944
  5. Step 5: Solve for x
    x = 339,390,927,251,346,944/475,668,601.20
  6. Step 6: Final answer
    x = 713,502,901.80

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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.