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Finding the Fourth Proportional to 42,513,640,015.90, 63,770,460,023.85 and 42,513,640,015.90

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Solution

The fourth proportional to 42,513,640,015.90, 63,770,460,023.85 and 42,513,640,015.90 is: 63,770,460,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,513,640,015.90 : 63,770,460,023.85 = 42,513,640,015.90 : x
  2. Step 2: Convert to fraction form
    42,513,640,015.90/63,770,460,023.85 = 42,513,640,015.90/x
  3. Step 3: Cross multiply
    42,513,640,015.90x = 63,770,460,023.85 × 42,513,640,015.90
  4. Step 4: Simplify right side
    42,513,640,015.90x = 2,711,114,381,102,300,528,640
  5. Step 5: Solve for x
    x = 2,711,114,381,102,300,528,640/42,513,640,015.90
  6. Step 6: Final answer
    x = 63,770,460,023.85

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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.