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Finding the Fourth Proportional to 804,990,715.01, 1,110,890,948.69 and 457,329,280.13

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Solution

The fourth proportional to 804,990,715.01, 1,110,890,948.69 and 457,329,280.13 is: 631,116,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,990,715.01 : 1,110,890,948.69 = 457,329,280.13 : x
  2. Step 2: Convert to fraction form
    804,990,715.01/1,110,890,948.69 = 457,329,280.13/x
  3. Step 3: Cross multiply
    804,990,715.01x = 1,110,890,948.69 × 457,329,280.13
  4. Step 4: Simplify right side
    804,990,715.01x = 508,042,957,867,330,496
  5. Step 5: Solve for x
    x = 508,042,957,867,330,496/804,990,715.01
  6. Step 6: Final answer
    x = 631,116,543.82

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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.