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Finding the Fourth Proportional to 11,509,156,981.90, 17,263,735,472.85 and 11,509,156,981.90

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Solution

The fourth proportional to 11,509,156,981.90, 17,263,735,472.85 and 11,509,156,981.90 is: 17,263,735,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509,156,981.90 : 17,263,735,472.85 = 11,509,156,981.90 : x
  2. Step 2: Convert to fraction form
    11,509,156,981.90/17,263,735,472.85 = 11,509,156,981.90/x
  3. Step 3: Cross multiply
    11,509,156,981.90x = 17,263,735,472.85 × 11,509,156,981.90
  4. Step 4: Simplify right side
    11,509,156,981.90x = 198,691,041,651,026,264,064
  5. Step 5: Solve for x
    x = 198,691,041,651,026,264,064/11,509,156,981.90
  6. Step 6: Final answer
    x = 17,263,735,472.85

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1.5x scale

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.