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Finding the Fourth Proportional to 849,493,809.12, 1,172,360,375.73 and 514,980,431.34

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Solution

The fourth proportional to 849,493,809.12, 1,172,360,375.73 and 514,980,431.34 is: 710,708,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,493,809.12 : 1,172,360,375.73 = 514,980,431.34 : x
  2. Step 2: Convert to fraction form
    849,493,809.12/1,172,360,375.73 = 514,980,431.34/x
  3. Step 3: Cross multiply
    849,493,809.12x = 1,172,360,375.73 × 514,980,431.34
  4. Step 4: Simplify right side
    849,493,809.12x = 603,742,651,979,359,872
  5. Step 5: Solve for x
    x = 603,742,651,979,359,872/849,493,809.12
  6. Step 6: Final answer
    x = 710,708,713.23

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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.