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Finding the Fourth Proportional to 117,369,156,737.67, 176,053,735,106.51 and 117,369,156,737.67

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Solution

The fourth proportional to 117,369,156,737.67, 176,053,735,106.51 and 117,369,156,737.67 is: 176,053,735,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,369,156,737.67 : 176,053,735,106.51 = 117,369,156,737.67 : x
  2. Step 2: Convert to fraction form
    117,369,156,737.67/176,053,735,106.51 = 117,369,156,737.67/x
  3. Step 3: Cross multiply
    117,369,156,737.67x = 176,053,735,106.51 × 117,369,156,737.67
  4. Step 4: Simplify right side
    117,369,156,737.67x = 20,663,278,429,968,206,397,440
  5. Step 5: Solve for x
    x = 20,663,278,429,968,206,397,440/117,369,156,737.67
  6. Step 6: Final answer
    x = 176,053,735,106.51

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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.