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Finding the Fourth Proportional to 882,479,002.32, 1,321,996,434.57 and 687,477,357

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Solution

The fourth proportional to 882,479,002.32, 1,321,996,434.57 and 687,477,357 is: 1,029,874,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,479,002.32 : 1,321,996,434.57 = 687,477,357 : x
  2. Step 2: Convert to fraction form
    882,479,002.32/1,321,996,434.57 = 687,477,357/x
  3. Step 3: Cross multiply
    882,479,002.32x = 1,321,996,434.57 × 687,477,357
  4. Step 4: Simplify right side
    882,479,002.32x = 908,842,614,801,607,040
  5. Step 5: Solve for x
    x = 908,842,614,801,607,040/882,479,002.32
  6. Step 6: Final answer
    x = 1,029,874,492.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.