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Finding the Fourth Proportional to 612,887,681,862.35, 919,331,522,793.50 and 612,887,681,862.35

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Solution

The fourth proportional to 612,887,681,862.35, 919,331,522,793.50 and 612,887,681,862.35 is: 919,331,522,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,887,681,862.35 : 919,331,522,793.50 = 612,887,681,862.35 : x
  2. Step 2: Convert to fraction form
    612,887,681,862.35/919,331,522,793.50 = 612,887,681,862.35/x
  3. Step 3: Cross multiply
    612,887,681,862.35x = 919,331,522,793.50 × 612,887,681,862.35
  4. Step 4: Simplify right side
    612,887,681,862.35x = 563,446,965,867,892,390,756,352
  5. Step 5: Solve for x
    x = 563,446,965,867,892,390,756,352/612,887,681,862.35
  6. Step 6: Final answer
    x = 919,331,522,793.50

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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.