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Finding the Fourth Proportional to 751,248,813.14, 1,036,719,543.20 and 416,717,872.22

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Solution

The fourth proportional to 751,248,813.14, 1,036,719,543.20 and 416,717,872.22 is: 575,068,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,248,813.14 : 1,036,719,543.20 = 416,717,872.22 : x
  2. Step 2: Convert to fraction form
    751,248,813.14/1,036,719,543.20 = 416,717,872.22/x
  3. Step 3: Cross multiply
    751,248,813.14x = 1,036,719,543.20 × 416,717,872.22
  4. Step 4: Simplify right side
    751,248,813.14x = 432,019,562,123,927,168
  5. Step 5: Solve for x
    x = 432,019,562,123,927,168/751,248,813.14
  6. Step 6: Final answer
    x = 575,068,545.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.