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Finding the Fourth Proportional to 497,666,494.40, 746,499,741.60 and 360,609,828.80

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Solution

The fourth proportional to 497,666,494.40, 746,499,741.60 and 360,609,828.80 is: 540,914,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,494.40 : 746,499,741.60 = 360,609,828.80 : x
  2. Step 2: Convert to fraction form
    497,666,494.40/746,499,741.60 = 360,609,828.80/x
  3. Step 3: Cross multiply
    497,666,494.40x = 746,499,741.60 × 360,609,828.80
  4. Step 4: Simplify right side
    497,666,494.40x = 269,195,144,017,620,256
  5. Step 5: Solve for x
    x = 269,195,144,017,620,256/497,666,494.40
  6. Step 6: Final answer
    x = 540,914,743.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.