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Finding the Fourth Proportional to 977,663,549.82, 1,349,201,268.38 and 531,652,997.90

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Solution

The fourth proportional to 977,663,549.82, 1,349,201,268.38 and 531,652,997.90 is: 733,695,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,663,549.82 : 1,349,201,268.38 = 531,652,997.90 : x
  2. Step 2: Convert to fraction form
    977,663,549.82/1,349,201,268.38 = 531,652,997.90/x
  3. Step 3: Cross multiply
    977,663,549.82x = 1,349,201,268.38 × 531,652,997.90
  4. Step 4: Simplify right side
    977,663,549.82x = 717,306,899,104,709,504
  5. Step 5: Solve for x
    x = 717,306,899,104,709,504/977,663,549.82
  6. Step 6: Final answer
    x = 733,695,041.85

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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.