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Finding the Fourth Proportional to 832,467,007.20, 1,248,291,903 and 411,802,345.38

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Solution

The fourth proportional to 832,467,007.20, 1,248,291,903 and 411,802,345.38 is: 617,501,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,467,007.20 : 1,248,291,903 = 411,802,345.38 : x
  2. Step 2: Convert to fraction form
    832,467,007.20/1,248,291,903 = 411,802,345.38/x
  3. Step 3: Cross multiply
    832,467,007.20x = 1,248,291,903 × 411,802,345.38
  4. Step 4: Simplify right side
    832,467,007.20x = 514,049,533,374,263,424
  5. Step 5: Solve for x
    x = 514,049,533,374,263,424/832,467,007.20
  6. Step 6: Final answer
    x = 617,501,389.16

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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.