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Finding the Fourth Proportional to 102,920,989,511.80, 154,381,484,267.70 and 102,920,989,511.80

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Solution

The fourth proportional to 102,920,989,511.80, 154,381,484,267.70 and 102,920,989,511.80 is: 154,381,484,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920,989,511.80 : 154,381,484,267.70 = 102,920,989,511.80 : x
  2. Step 2: Convert to fraction form
    102,920,989,511.80/154,381,484,267.70 = 102,920,989,511.80/x
  3. Step 3: Cross multiply
    102,920,989,511.80x = 154,381,484,267.70 × 102,920,989,511.80
  4. Step 4: Simplify right side
    102,920,989,511.80x = 15,889,095,123,132,070,494,208
  5. Step 5: Solve for x
    x = 15,889,095,123,132,070,494,208/102,920,989,511.80
  6. Step 6: Final answer
    x = 154,381,484,267.70

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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.