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Finding the Fourth Proportional to 735,172,280.10, 1,031,823,995.40 and 735,172,280.10

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Solution

The fourth proportional to 735,172,280.10, 1,031,823,995.40 and 735,172,280.10 is: 1,031,823,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,172,280.10 : 1,031,823,995.40 = 735,172,280.10 : x
  2. Step 2: Convert to fraction form
    735,172,280.10/1,031,823,995.40 = 735,172,280.10/x
  3. Step 3: Cross multiply
    735,172,280.10x = 1,031,823,995.40 × 735,172,280.10
  4. Step 4: Simplify right side
    735,172,280.10x = 758,568,399,360,109,952
  5. Step 5: Solve for x
    x = 758,568,399,360,109,952/735,172,280.10
  6. Step 6: Final answer
    x = 1,031,823,995.40

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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.