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Finding the Fourth Proportional to 7,415,312.30, 10,403,832.10 and 7,415,312.30

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Solution

The fourth proportional to 7,415,312.30, 10,403,832.10 and 7,415,312.30 is: 10,403,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415,312.30 : 10,403,832.10 = 7,415,312.30 : x
  2. Step 2: Convert to fraction form
    7,415,312.30/10,403,832.10 = 7,415,312.30/x
  3. Step 3: Cross multiply
    7,415,312.30x = 10,403,832.10 × 7,415,312.30
  4. Step 4: Simplify right side
    7,415,312.30x = 77,147,664,138,264.83
  5. Step 5: Solve for x
    x = 77,147,664,138,264.83/7,415,312.30
  6. Step 6: Final answer
    x = 10,403,832.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.