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Finding the Fourth Proportional to 65,190,285,240.30, 97,785,427,860.45 and 65,190,285,240.30

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Solution

The fourth proportional to 65,190,285,240.30, 97,785,427,860.45 and 65,190,285,240.30 is: 97,785,427,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,190,285,240.30 : 97,785,427,860.45 = 65,190,285,240.30 : x
  2. Step 2: Convert to fraction form
    65,190,285,240.30/97,785,427,860.45 = 65,190,285,240.30/x
  3. Step 3: Cross multiply
    65,190,285,240.30x = 97,785,427,860.45 × 65,190,285,240.30
  4. Step 4: Simplify right side
    65,190,285,240.30x = 6,374,659,934,567,513,718,784
  5. Step 5: Solve for x
    x = 6,374,659,934,567,513,718,784/65,190,285,240.30
  6. Step 6: Final answer
    x = 97,785,427,860.45

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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.