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Finding the Fourth Proportional to 5,728,366,154,911.60, 8,592,549,232,367.40 and 5,728,366,154,911.60

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Solution

The fourth proportional to 5,728,366,154,911.60, 8,592,549,232,367.40 and 5,728,366,154,911.60 is: 8,592,549,232,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728,366,154,911.60 : 8,592,549,232,367.40 = 5,728,366,154,911.60 : x
  2. Step 2: Convert to fraction form
    5,728,366,154,911.60/8,592,549,232,367.40 = 5,728,366,154,911.60/x
  3. Step 3: Cross multiply
    5,728,366,154,911.60x = 8,592,549,232,367.40 × 5,728,366,154,911.60
  4. Step 4: Simplify right side
    5,728,366,154,911.60x = 49,221,268,207,105,065,732,800,512
  5. Step 5: Solve for x
    x = 49,221,268,207,105,065,732,800,512/5,728,366,154,911.60
  6. Step 6: Final answer
    x = 8,592,549,232,367.40

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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.