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Finding the Fourth Proportional to 218,050,358,521.20, 327,075,537,781.80 and 218,050,358,521.20

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Solution

The fourth proportional to 218,050,358,521.20, 327,075,537,781.80 and 218,050,358,521.20 is: 327,075,537,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,358,521.20 : 327,075,537,781.80 = 218,050,358,521.20 : x
  2. Step 2: Convert to fraction form
    218,050,358,521.20/327,075,537,781.80 = 218,050,358,521.20/x
  3. Step 3: Cross multiply
    218,050,358,521.20x = 327,075,537,781.80 × 218,050,358,521.20
  4. Step 4: Simplify right side
    218,050,358,521.20x = 71,318,938,276,835,784,392,704
  5. Step 5: Solve for x
    x = 71,318,938,276,835,784,392,704/218,050,358,521.20
  6. Step 6: Final answer
    x = 327,075,537,781.80

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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.