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Finding the Fourth Proportional to 274,736,706.30, 412,105,059.45 and 266,774,082.30

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Solution

The fourth proportional to 274,736,706.30, 412,105,059.45 and 266,774,082.30 is: 400,161,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,736,706.30 : 412,105,059.45 = 266,774,082.30 : x
  2. Step 2: Convert to fraction form
    274,736,706.30/412,105,059.45 = 266,774,082.30/x
  3. Step 3: Cross multiply
    274,736,706.30x = 412,105,059.45 × 266,774,082.30
  4. Step 4: Simplify right side
    274,736,706.30x = 109,938,949,045,960,688
  5. Step 5: Solve for x
    x = 109,938,949,045,960,688/274,736,706.30
  6. Step 6: Final answer
    x = 400,161,123.45

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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.