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Finding the Fourth Proportional to 843,387,992.32, 1,163,057,775.84 and 657,681,249.28

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Solution

The fourth proportional to 843,387,992.32, 1,163,057,775.84 and 657,681,249.28 is: 906,962,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,387,992.32 : 1,163,057,775.84 = 657,681,249.28 : x
  2. Step 2: Convert to fraction form
    843,387,992.32/1,163,057,775.84 = 657,681,249.28/x
  3. Step 3: Cross multiply
    843,387,992.32x = 1,163,057,775.84 × 657,681,249.28
  4. Step 4: Simplify right side
    843,387,992.32x = 764,921,290,999,269,248
  5. Step 5: Solve for x
    x = 764,921,290,999,269,248/843,387,992.32
  6. Step 6: Final answer
    x = 906,962,510.69

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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.