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Finding the Fourth Proportional to 1,242,697,974.22, 1,714,959,562.13 and 678,219,061.02

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Solution

The fourth proportional to 1,242,697,974.22, 1,714,959,562.13 and 678,219,061.02 is: 935,962,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,697,974.22 : 1,714,959,562.13 = 678,219,061.02 : x
  2. Step 2: Convert to fraction form
    1,242,697,974.22/1,714,959,562.13 = 678,219,061.02/x
  3. Step 3: Cross multiply
    1,242,697,974.22x = 1,714,959,562.13 × 678,219,061.02
  4. Step 4: Simplify right side
    1,242,697,974.22x = 1,163,118,263,915,078,912
  5. Step 5: Solve for x
    x = 1,163,118,263,915,078,912/1,242,697,974.22
  6. Step 6: Final answer
    x = 935,962,146.91

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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.