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Finding the Fourth Proportional to 538,846,871.10, 808,270,306.65 and 538,846,871.10

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Solution

The fourth proportional to 538,846,871.10, 808,270,306.65 and 538,846,871.10 is: 808,270,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,846,871.10 : 808,270,306.65 = 538,846,871.10 : x
  2. Step 2: Convert to fraction form
    538,846,871.10/808,270,306.65 = 538,846,871.10/x
  3. Step 3: Cross multiply
    538,846,871.10x = 808,270,306.65 × 538,846,871.10
  4. Step 4: Simplify right side
    538,846,871.10x = 435,533,925,741,390,016
  5. Step 5: Solve for x
    x = 435,533,925,741,390,016/538,846,871.10
  6. Step 6: Final answer
    x = 808,270,306.65

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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.