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Finding the Fourth Proportional to 857,382,699.40, 1,286,074,049.10 and 857,382,699.40

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Solution

The fourth proportional to 857,382,699.40, 1,286,074,049.10 and 857,382,699.40 is: 1,286,074,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,382,699.40 : 1,286,074,049.10 = 857,382,699.40 : x
  2. Step 2: Convert to fraction form
    857,382,699.40/1,286,074,049.10 = 857,382,699.40/x
  3. Step 3: Cross multiply
    857,382,699.40x = 1,286,074,049.10 × 857,382,699.40
  4. Step 4: Simplify right side
    857,382,699.40x = 1,102,657,639,845,646,080
  5. Step 5: Solve for x
    x = 1,102,657,639,845,646,080/857,382,699.40
  6. Step 6: Final answer
    x = 1,286,074,049.10

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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.