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Finding the Fourth Proportional to 916,937,417.20, 1,375,406,125.80 and 832,284,770.80

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Solution

The fourth proportional to 916,937,417.20, 1,375,406,125.80 and 832,284,770.80 is: 1,248,427,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,937,417.20 : 1,375,406,125.80 = 832,284,770.80 : x
  2. Step 2: Convert to fraction form
    916,937,417.20/1,375,406,125.80 = 832,284,770.80/x
  3. Step 3: Cross multiply
    916,937,417.20x = 1,375,406,125.80 × 832,284,770.80
  4. Step 4: Simplify right side
    916,937,417.20x = 1,144,729,572,168,368,896
  5. Step 5: Solve for x
    x = 1,144,729,572,168,368,896/916,937,417.20
  6. Step 6: Final answer
    x = 1,248,427,156.20

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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.