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Finding the Fourth Proportional to 767,248,814.16, 1,058,801,372.04 and 428,153,734.24

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Solution

The fourth proportional to 767,248,814.16, 1,058,801,372.04 and 428,153,734.24 is: 590,851,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,248,814.16 : 1,058,801,372.04 = 428,153,734.24 : x
  2. Step 2: Convert to fraction form
    767,248,814.16/1,058,801,372.04 = 428,153,734.24/x
  3. Step 3: Cross multiply
    767,248,814.16x = 1,058,801,372.04 × 428,153,734.24
  4. Step 4: Simplify right side
    767,248,814.16x = 453,329,761,257,361,536
  5. Step 5: Solve for x
    x = 453,329,761,257,361,536/767,248,814.16
  6. Step 6: Final answer
    x = 590,851,041.92

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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.