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Finding the Fourth Proportional to 1,285,416,240.54, 1,774,068,314.67 and 783,915,970.38

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Solution

The fourth proportional to 1,285,416,240.54, 1,774,068,314.67 and 783,915,970.38 is: 1,081,922,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,416,240.54 : 1,774,068,314.67 = 783,915,970.38 : x
  2. Step 2: Convert to fraction form
    1,285,416,240.54/1,774,068,314.67 = 783,915,970.38/x
  3. Step 3: Cross multiply
    1,285,416,240.54x = 1,774,068,314.67 × 783,915,970.38
  4. Step 4: Simplify right side
    1,285,416,240.54x = 1,390,720,484,414,944,256
  5. Step 5: Solve for x
    x = 1,390,720,484,414,944,256/1,285,416,240.54
  6. Step 6: Final answer
    x = 1,081,922,291.44

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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.