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Finding the Fourth Proportional to 117,881,569,692.30, 176,822,354,538.45 and 117,881,569,692.30

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Solution

The fourth proportional to 117,881,569,692.30, 176,822,354,538.45 and 117,881,569,692.30 is: 176,822,354,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,881,569,692.30 : 176,822,354,538.45 = 117,881,569,692.30 : x
  2. Step 2: Convert to fraction form
    117,881,569,692.30/176,822,354,538.45 = 117,881,569,692.30/x
  3. Step 3: Cross multiply
    117,881,569,692.30x = 176,822,354,538.45 × 117,881,569,692.30
  4. Step 4: Simplify right side
    117,881,569,692.30x = 20,844,096,709,680,873,603,072
  5. Step 5: Solve for x
    x = 20,844,096,709,680,873,603,072/117,881,569,692.30
  6. Step 6: Final answer
    x = 176,822,354,538.45

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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.