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Finding the Fourth Proportional to 1,242,697,965.22, 1,714,959,549.71 and 678,219,052.02

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Solution

The fourth proportional to 1,242,697,965.22, 1,714,959,549.71 and 678,219,052.02 is: 935,962,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,697,965.22 : 1,714,959,549.71 = 678,219,052.02 : x
  2. Step 2: Convert to fraction form
    1,242,697,965.22/1,714,959,549.71 = 678,219,052.02/x
  3. Step 3: Cross multiply
    1,242,697,965.22x = 1,714,959,549.71 × 678,219,052.02
  4. Step 4: Simplify right side
    1,242,697,965.22x = 1,163,118,240,056,962,304
  5. Step 5: Solve for x
    x = 1,163,118,240,056,962,304/1,242,697,965.22
  6. Step 6: Final answer
    x = 935,962,134.49

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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.