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Finding the Fourth Proportional to 356,549,204,862.10, 534,823,807,293.15 and 356,549,204,862.10

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Solution

The fourth proportional to 356,549,204,862.10, 534,823,807,293.15 and 356,549,204,862.10 is: 534,823,807,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,549,204,862.10 : 534,823,807,293.15 = 356,549,204,862.10 : x
  2. Step 2: Convert to fraction form
    356,549,204,862.10/534,823,807,293.15 = 356,549,204,862.10/x
  3. Step 3: Cross multiply
    356,549,204,862.10x = 534,823,807,293.15 × 356,549,204,862.10
  4. Step 4: Simplify right side
    356,549,204,862.10x = 190,691,003,231,693,621,428,224
  5. Step 5: Solve for x
    x = 190,691,003,231,693,621,428,224/356,549,204,862.10
  6. Step 6: Final answer
    x = 534,823,807,293.15

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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.