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Finding the Fourth Proportional to 1,169,894,791.36, 1,754,842,080.50 and 514,845,817.41

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Solution

The fourth proportional to 1,169,894,791.36, 1,754,842,080.50 and 514,845,817.41 is: 772,268,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,894,791.36 : 1,754,842,080.50 = 514,845,817.41 : x
  2. Step 2: Convert to fraction form
    1,169,894,791.36/1,754,842,080.50 = 514,845,817.41/x
  3. Step 3: Cross multiply
    1,169,894,791.36x = 1,754,842,080.50 × 514,845,817.41
  4. Step 4: Simplify right side
    1,169,894,791.36x = 903,473,105,360,487,552
  5. Step 5: Solve for x
    x = 903,473,105,360,487,552/1,169,894,791.36
  6. Step 6: Final answer
    x = 772,268,679.23

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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.