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Finding the Fourth Proportional to 749,952,359.60, 1,047,514,656.40 and 749,952,359.60

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Solution

The fourth proportional to 749,952,359.60, 1,047,514,656.40 and 749,952,359.60 is: 1,047,514,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,952,359.60 : 1,047,514,656.40 = 749,952,359.60 : x
  2. Step 2: Convert to fraction form
    749,952,359.60/1,047,514,656.40 = 749,952,359.60/x
  3. Step 3: Cross multiply
    749,952,359.60x = 1,047,514,656.40 × 749,952,359.60
  4. Step 4: Simplify right side
    749,952,359.60x = 785,586,088,282,763,264
  5. Step 5: Solve for x
    x = 785,586,088,282,763,264/749,952,359.60
  6. Step 6: Final answer
    x = 1,047,514,656.40

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Why These Related Problems?

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