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Finding the Fourth Proportional to 6,458,140,853,999.70, 9,687,211,280,999.70 and 6,458,140,853,999.70

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Solution

The fourth proportional to 6,458,140,853,999.70, 9,687,211,280,999.70 and 6,458,140,853,999.70 is: 9,687,211,280,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,140,853,999.70 : 9,687,211,280,999.70 = 6,458,140,853,999.70 : x
  2. Step 2: Convert to fraction form
    6,458,140,853,999.70/9,687,211,280,999.70 = 6,458,140,853,999.70/x
  3. Step 3: Cross multiply
    6,458,140,853,999.70x = 9,687,211,280,999.70 × 6,458,140,853,999.70
  4. Step 4: Simplify right side
    6,458,140,853,999.70x = 62,561,374,935,150,924,216,139,776
  5. Step 5: Solve for x
    x = 62,561,374,935,150,924,216,139,776/6,458,140,853,999.70
  6. Step 6: Final answer
    x = 9,687,211,280,999.70

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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.