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Finding the Fourth Proportional to 1,312,296,116.73, 1,968,116,540.60 and 514,775,354.31

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Solution

The fourth proportional to 1,312,296,116.73, 1,968,116,540.60 and 514,775,354.31 is: 772,034,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,296,116.73 : 1,968,116,540.60 = 514,775,354.31 : x
  2. Step 2: Convert to fraction form
    1,312,296,116.73/1,968,116,540.60 = 514,775,354.31/x
  3. Step 3: Cross multiply
    1,312,296,116.73x = 1,968,116,540.60 × 514,775,354.31
  4. Step 4: Simplify right side
    1,312,296,116.73x = 1,013,137,889,507,033,472
  5. Step 5: Solve for x
    x = 1,013,137,889,507,033,472/1,312,296,116.73
  6. Step 6: Final answer
    x = 772,034,510.04

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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.