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Finding the Fourth Proportional to 916,656,810.56, 1,265,016,953.86 and 514,841,368.64

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Solution

The fourth proportional to 916,656,810.56, 1,265,016,953.86 and 514,841,368.64 is: 710,498,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,656,810.56 : 1,265,016,953.86 = 514,841,368.64 : x
  2. Step 2: Convert to fraction form
    916,656,810.56/1,265,016,953.86 = 514,841,368.64/x
  3. Step 3: Cross multiply
    916,656,810.56x = 1,265,016,953.86 × 514,841,368.64
  4. Step 4: Simplify right side
    916,656,810.56x = 651,283,059,878,086,016
  5. Step 5: Solve for x
    x = 651,283,059,878,086,016/916,656,810.56
  6. Step 6: Final answer
    x = 710,498,250.14

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