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Finding the Fourth Proportional to 553,104,016.93, 829,548,394.47 and 159,603,178.59

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Solution

The fourth proportional to 553,104,016.93, 829,548,394.47 and 159,603,178.59 is: 239,373,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,104,016.93 : 829,548,394.47 = 159,603,178.59 : x
  2. Step 2: Convert to fraction form
    553,104,016.93/829,548,394.47 = 159,603,178.59/x
  3. Step 3: Cross multiply
    553,104,016.93x = 829,548,394.47 × 159,603,178.59
  4. Step 4: Simplify right side
    553,104,016.93x = 132,398,560,551,643,184
  5. Step 5: Solve for x
    x = 132,398,560,551,643,184/553,104,016.93
  6. Step 6: Final answer
    x = 239,373,710.01

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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.