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Finding the Fourth Proportional to 1,443,774,857.04, 1,992,411,828.36 and 783,725,582.16

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Solution

The fourth proportional to 1,443,774,857.04, 1,992,411,828.36 and 783,725,582.16 is: 1,081,542,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443,774,857.04 : 1,992,411,828.36 = 783,725,582.16 : x
  2. Step 2: Convert to fraction form
    1,443,774,857.04/1,992,411,828.36 = 783,725,582.16/x
  3. Step 3: Cross multiply
    1,443,774,857.04x = 1,992,411,828.36 × 783,725,582.16
  4. Step 4: Simplify right side
    1,443,774,857.04x = 1,561,504,120,083,910,912
  5. Step 5: Solve for x
    x = 1,561,504,120,083,910,912/1,443,774,857.04
  6. Step 6: Final answer
    x = 1,081,542,674.38

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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.