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Finding the Fourth Proportional to 3,277,129,284,017.70, 4,915,693,926,026.70 and 3,277,129,284,017.70

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Solution

The fourth proportional to 3,277,129,284,017.70, 4,915,693,926,026.70 and 3,277,129,284,017.70 is: 4,915,693,926,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,129,284,017.70 : 4,915,693,926,026.70 = 3,277,129,284,017.70 : x
  2. Step 2: Convert to fraction form
    3,277,129,284,017.70/4,915,693,926,026.70 = 3,277,129,284,017.70/x
  3. Step 3: Cross multiply
    3,277,129,284,017.70x = 4,915,693,926,026.70 × 3,277,129,284,017.70
  4. Step 4: Simplify right side
    3,277,129,284,017.70x = 16,109,364,516,250,038,023,749,632
  5. Step 5: Solve for x
    x = 16,109,364,516,250,038,023,749,632/3,277,129,284,017.70
  6. Step 6: Final answer
    x = 4,915,693,926,026.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.