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Finding the Fourth Proportional to 872,786,459.52, 1,204,470,848.88 and 476,334,876.96

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Solution

The fourth proportional to 872,786,459.52, 1,204,470,848.88 and 476,334,876.96 is: 657,356,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,786,459.52 : 1,204,470,848.88 = 476,334,876.96 : x
  2. Step 2: Convert to fraction form
    872,786,459.52/1,204,470,848.88 = 476,334,876.96/x
  3. Step 3: Cross multiply
    872,786,459.52x = 1,204,470,848.88 × 476,334,876.96
  4. Step 4: Simplify right side
    872,786,459.52x = 573,731,473,603,161,600
  5. Step 5: Solve for x
    x = 573,731,473,603,161,600/872,786,459.52
  6. Step 6: Final answer
    x = 657,356,066.13

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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.