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Finding the Fourth Proportional to 497,666,586.80, 746,499,880.20 and 497,666,586.80

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Solution

The fourth proportional to 497,666,586.80, 746,499,880.20 and 497,666,586.80 is: 746,499,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,586.80 : 746,499,880.20 = 497,666,586.80 : x
  2. Step 2: Convert to fraction form
    497,666,586.80/746,499,880.20 = 497,666,586.80/x
  3. Step 3: Cross multiply
    497,666,586.80x = 746,499,880.20 × 497,666,586.80
  4. Step 4: Simplify right side
    497,666,586.80x = 371,508,047,425,742,912
  5. Step 5: Solve for x
    x = 371,508,047,425,742,912/497,666,586.80
  6. Step 6: Final answer
    x = 746,499,880.20

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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.