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Finding the Fourth Proportional to 1,242,714,025, 1,714,986,518.34 and 678,229,728.04

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Solution

The fourth proportional to 1,242,714,025, 1,714,986,518.34 and 678,229,728.04 is: 935,979,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,714,025 : 1,714,986,518.34 = 678,229,728.04 : x
  2. Step 2: Convert to fraction form
    1,242,714,025/1,714,986,518.34 = 678,229,728.04/x
  3. Step 3: Cross multiply
    1,242,714,025x = 1,714,986,518.34 × 678,229,728.04
  4. Step 4: Simplify right side
    1,242,714,025x = 1,163,154,839,926,004,480
  5. Step 5: Solve for x
    x = 1,163,154,839,926,004,480/1,242,714,025
  6. Step 6: Final answer
    x = 935,979,490.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.