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Finding the Fourth Proportional to 749,952,350.10, 1,047,514,643.10 and 749,952,350.10

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Solution

The fourth proportional to 749,952,350.10, 1,047,514,643.10 and 749,952,350.10 is: 1,047,514,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,952,350.10 : 1,047,514,643.10 = 749,952,350.10 : x
  2. Step 2: Convert to fraction form
    749,952,350.10/1,047,514,643.10 = 749,952,350.10/x
  3. Step 3: Cross multiply
    749,952,350.10x = 1,047,514,643.10 × 749,952,350.10
  4. Step 4: Simplify right side
    749,952,350.10x = 785,586,068,357,007,744
  5. Step 5: Solve for x
    x = 785,586,068,357,007,744/749,952,350.10
  6. Step 6: Final answer
    x = 1,047,514,643.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.