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Finding the Fourth Proportional to 1,322,999,484.68, 1,984,798,199.72 and 437,682,767.06

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Solution

The fourth proportional to 1,322,999,484.68, 1,984,798,199.72 and 437,682,767.06 is: 656,623,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,999,484.68 : 1,984,798,199.72 = 437,682,767.06 : x
  2. Step 2: Convert to fraction form
    1,322,999,484.68/1,984,798,199.72 = 437,682,767.06/x
  3. Step 3: Cross multiply
    1,322,999,484.68x = 1,984,798,199.72 × 437,682,767.06
  4. Step 4: Simplify right side
    1,322,999,484.68x = 868,711,968,100,326,400
  5. Step 5: Solve for x
    x = 868,711,968,100,326,400/1,322,999,484.68
  6. Step 6: Final answer
    x = 656,623,058.56

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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.