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Finding the Fourth Proportional to 687,013,922.40, 1,030,520,883.60 and 687,013,922.40

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Solution

The fourth proportional to 687,013,922.40, 1,030,520,883.60 and 687,013,922.40 is: 1,030,520,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,013,922.40 : 1,030,520,883.60 = 687,013,922.40 : x
  2. Step 2: Convert to fraction form
    687,013,922.40/1,030,520,883.60 = 687,013,922.40/x
  3. Step 3: Cross multiply
    687,013,922.40x = 1,030,520,883.60 × 687,013,922.40
  4. Step 4: Simplify right side
    687,013,922.40x = 707,982,194,357,149,824
  5. Step 5: Solve for x
    x = 707,982,194,357,149,824/687,013,922.40
  6. Step 6: Final answer
    x = 1,030,520,883.60

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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.