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Finding the Fourth Proportional to 937,291,005.80, 1,405,936,508.70 and 937,291,005.80

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Solution

The fourth proportional to 937,291,005.80, 1,405,936,508.70 and 937,291,005.80 is: 1,405,936,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,291,005.80 : 1,405,936,508.70 = 937,291,005.80 : x
  2. Step 2: Convert to fraction form
    937,291,005.80/1,405,936,508.70 = 937,291,005.80/x
  3. Step 3: Cross multiply
    937,291,005.80x = 1,405,936,508.70 × 937,291,005.80
  4. Step 4: Simplify right side
    937,291,005.80x = 1,317,771,644,330,363,392
  5. Step 5: Solve for x
    x = 1,317,771,644,330,363,392/937,291,005.80
  6. Step 6: Final answer
    x = 1,405,936,508.70

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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.