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Finding the Fourth Proportional to 453,869,704,662.80, 680,804,556,994.20 and 453,869,704,662.80

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Solution

The fourth proportional to 453,869,704,662.80, 680,804,556,994.20 and 453,869,704,662.80 is: 680,804,556,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,869,704,662.80 : 680,804,556,994.20 = 453,869,704,662.80 : x
  2. Step 2: Convert to fraction form
    453,869,704,662.80/680,804,556,994.20 = 453,869,704,662.80/x
  3. Step 3: Cross multiply
    453,869,704,662.80x = 680,804,556,994.20 × 453,869,704,662.80
  4. Step 4: Simplify right side
    453,869,704,662.80x = 308,996,563,216,045,946,437,632
  5. Step 5: Solve for x
    x = 308,996,563,216,045,946,437,632/453,869,704,662.80
  6. Step 6: Final answer
    x = 680,804,556,994.20

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