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Finding the Fourth Proportional to 594,435,657.30, 891,653,485.95 and 206,129,433.30

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Solution

The fourth proportional to 594,435,657.30, 891,653,485.95 and 206,129,433.30 is: 309,194,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,435,657.30 : 891,653,485.95 = 206,129,433.30 : x
  2. Step 2: Convert to fraction form
    594,435,657.30/891,653,485.95 = 206,129,433.30/x
  3. Step 3: Cross multiply
    594,435,657.30x = 891,653,485.95 × 206,129,433.30
  4. Step 4: Simplify right side
    594,435,657.30x = 183,796,027,758,843,040
  5. Step 5: Solve for x
    x = 183,796,027,758,843,040/594,435,657.30
  6. Step 6: Final answer
    x = 309,194,149.95

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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.