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Finding the Fourth Proportional to 397,787,136,012.40, 596,680,704,018.60 and 397,787,136,012.40

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Solution

The fourth proportional to 397,787,136,012.40, 596,680,704,018.60 and 397,787,136,012.40 is: 596,680,704,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,787,136,012.40 : 596,680,704,018.60 = 397,787,136,012.40 : x
  2. Step 2: Convert to fraction form
    397,787,136,012.40/596,680,704,018.60 = 397,787,136,012.40/x
  3. Step 3: Cross multiply
    397,787,136,012.40x = 596,680,704,018.60 × 397,787,136,012.40
  4. Step 4: Simplify right side
    397,787,136,012.40x = 237,351,908,365,421,416,284,160
  5. Step 5: Solve for x
    x = 237,351,908,365,421,416,284,160/397,787,136,012.40
  6. Step 6: Final answer
    x = 596,680,704,018.60

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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.