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Finding the Fourth Proportional to 296,832,060.90, 414,715,538.70 and 296,832,060.90

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Solution

The fourth proportional to 296,832,060.90, 414,715,538.70 and 296,832,060.90 is: 414,715,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,832,060.90 : 414,715,538.70 = 296,832,060.90 : x
  2. Step 2: Convert to fraction form
    296,832,060.90/414,715,538.70 = 296,832,060.90/x
  3. Step 3: Cross multiply
    296,832,060.90x = 414,715,538.70 × 296,832,060.90
  4. Step 4: Simplify right side
    296,832,060.90x = 123,100,868,039,574,688
  5. Step 5: Solve for x
    x = 123,100,868,039,574,688/296,832,060.90
  6. Step 6: Final answer
    x = 414,715,538.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.