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Finding the Fourth Proportional to 916,656,813.56, 1,265,016,958 and 514,841,371.64

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Solution

The fourth proportional to 916,656,813.56, 1,265,016,958 and 514,841,371.64 is: 710,498,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,656,813.56 : 1,265,016,958 = 514,841,371.64 : x
  2. Step 2: Convert to fraction form
    916,656,813.56/1,265,016,958 = 514,841,371.64/x
  3. Step 3: Cross multiply
    916,656,813.56x = 1,265,016,958 × 514,841,371.64
  4. Step 4: Simplify right side
    916,656,813.56x = 651,283,065,804,580,224
  5. Step 5: Solve for x
    x = 651,283,065,804,580,224/916,656,813.56
  6. Step 6: Final answer
    x = 710,498,254.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.