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Finding the Fourth Proportional to 70,961,801.60, 106,442,702.40 and 48,286,985.60

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Solution

The fourth proportional to 70,961,801.60, 106,442,702.40 and 48,286,985.60 is: 72,430,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,961,801.60 : 106,442,702.40 = 48,286,985.60 : x
  2. Step 2: Convert to fraction form
    70,961,801.60/106,442,702.40 = 48,286,985.60/x
  3. Step 3: Cross multiply
    70,961,801.60x = 106,442,702.40 × 48,286,985.60
  4. Step 4: Simplify right side
    70,961,801.60x = 5,139,797,238,013,886
  5. Step 5: Solve for x
    x = 5,139,797,238,013,886/70,961,801.60
  6. Step 6: Final answer
    x = 72,430,478.40

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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.