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Finding the Fourth Proportional to 1,006,697,768.22, 1,389,285,978.06 and 560,661,059.95

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Solution

The fourth proportional to 1,006,697,768.22, 1,389,285,978.06 and 560,661,059.95 is: 773,736,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,697,768.22 : 1,389,285,978.06 = 560,661,059.95 : x
  2. Step 2: Convert to fraction form
    1,006,697,768.22/1,389,285,978.06 = 560,661,059.95/x
  3. Step 3: Cross multiply
    1,006,697,768.22x = 1,389,285,978.06 × 560,661,059.95
  4. Step 4: Simplify right side
    1,006,697,768.22x = 778,918,549,025,845,632
  5. Step 5: Solve for x
    x = 778,918,549,025,845,632/1,006,697,768.22
  6. Step 6: Final answer
    x = 773,736,243.01

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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.