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Finding the Fourth Proportional to 5,728,366,155,307.70, 8,592,549,232,960.80 and 5,728,366,155,307.70

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Solution

The fourth proportional to 5,728,366,155,307.70, 8,592,549,232,960.80 and 5,728,366,155,307.70 is: 8,592,549,232,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728,366,155,307.70 : 8,592,549,232,960.80 = 5,728,366,155,307.70 : x
  2. Step 2: Convert to fraction form
    5,728,366,155,307.70/8,592,549,232,960.80 = 5,728,366,155,307.70/x
  3. Step 3: Cross multiply
    5,728,366,155,307.70x = 8,592,549,232,960.80 × 5,728,366,155,307.70
  4. Step 4: Simplify right side
    5,728,366,155,307.70x = 49,221,268,213,907,787,123,523,584
  5. Step 5: Solve for x
    x = 49,221,268,213,907,787,123,523,584/5,728,366,155,307.70
  6. Step 6: Final answer
    x = 8,592,549,232,960.80

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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.