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Finding the Fourth Proportional to 753,029,973.15, 1,129,544,959.77 and 753,029,973.15

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Solution

The fourth proportional to 753,029,973.15, 1,129,544,959.77 and 753,029,973.15 is: 1,129,544,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,029,973.15 : 1,129,544,959.77 = 753,029,973.15 : x
  2. Step 2: Convert to fraction form
    753,029,973.15/1,129,544,959.77 = 753,029,973.15/x
  3. Step 3: Cross multiply
    753,029,973.15x = 1,129,544,959.77 × 753,029,973.15
  4. Step 4: Simplify right side
    753,029,973.15x = 850,581,210,727,320,832
  5. Step 5: Solve for x
    x = 850,581,210,727,320,832/753,029,973.15
  6. Step 6: Final answer
    x = 1,129,544,959.77

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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.