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Finding the Fourth Proportional to 1,609,670,617.80, 2,414,505,926.70 and 989,797,835.40

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Solution

The fourth proportional to 1,609,670,617.80, 2,414,505,926.70 and 989,797,835.40 is: 1,484,696,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,670,617.80 : 2,414,505,926.70 = 989,797,835.40 : x
  2. Step 2: Convert to fraction form
    1,609,670,617.80/2,414,505,926.70 = 989,797,835.40/x
  3. Step 3: Cross multiply
    1,609,670,617.80x = 2,414,505,926.70 × 989,797,835.40
  4. Step 4: Simplify right side
    1,609,670,617.80x = 2,389,872,739,808,131,072
  5. Step 5: Solve for x
    x = 2,389,872,739,808,131,072/1,609,670,617.80
  6. Step 6: Final answer
    x = 1,484,696,753.10

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1.5x scale

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.