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Finding the Fourth Proportional to 538,100,366.40, 805,875,091.20 and 538,100,366.40

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Solution

The fourth proportional to 538,100,366.40, 805,875,091.20 and 538,100,366.40 is: 805,875,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,100,366.40 : 805,875,091.20 = 538,100,366.40 : x
  2. Step 2: Convert to fraction form
    538,100,366.40/805,875,091.20 = 538,100,366.40/x
  3. Step 3: Cross multiply
    538,100,366.40x = 805,875,091.20 × 538,100,366.40
  4. Step 4: Simplify right side
    538,100,366.40x = 433,641,681,847,353,408
  5. Step 5: Solve for x
    x = 433,641,681,847,353,408/538,100,366.40
  6. Step 6: Final answer
    x = 805,875,091.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.