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Finding the Fourth Proportional to 781,354,701.90, 1,078,229,890.80 and 463,828,520.39

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Solution

The fourth proportional to 781,354,701.90, 1,078,229,890.80 and 463,828,520.39 is: 640,059,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,354,701.90 : 1,078,229,890.80 = 463,828,520.39 : x
  2. Step 2: Convert to fraction form
    781,354,701.90/1,078,229,890.80 = 463,828,520.39/x
  3. Step 3: Cross multiply
    781,354,701.90x = 1,078,229,890.80 × 463,828,520.39
  4. Step 4: Simplify right side
    781,354,701.90x = 500,113,774,884,644,096
  5. Step 5: Solve for x
    x = 500,113,774,884,644,096/781,354,701.90
  6. Step 6: Final answer
    x = 640,059,852.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.