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Finding the Fourth Proportional to 65,193,210,006.35, 97,789,815,009.53 and 65,193,210,006.35

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Solution

The fourth proportional to 65,193,210,006.35, 97,789,815,009.53 and 65,193,210,006.35 is: 97,789,815,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193,210,006.35 : 97,789,815,009.53 = 65,193,210,006.35 : x
  2. Step 2: Convert to fraction form
    65,193,210,006.35/97,789,815,009.53 = 65,193,210,006.35/x
  3. Step 3: Cross multiply
    65,193,210,006.35x = 97,789,815,009.53 × 65,193,210,006.35
  4. Step 4: Simplify right side
    65,193,210,006.35x = 6,375,231,946,398,406,541,312
  5. Step 5: Solve for x
    x = 6,375,231,946,398,406,541,312/65,193,210,006.35
  6. Step 6: Final answer
    x = 97,789,815,009.53

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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.