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Finding the Fourth Proportional to 5,728,366,155,349.40, 8,592,549,233,023.80 and 5,728,366,155,349.40

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Solution

The fourth proportional to 5,728,366,155,349.40, 8,592,549,233,023.80 and 5,728,366,155,349.40 is: 8,592,549,233,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728,366,155,349.40 : 8,592,549,233,023.80 = 5,728,366,155,349.40 : x
  2. Step 2: Convert to fraction form
    5,728,366,155,349.40/8,592,549,233,023.80 = 5,728,366,155,349.40/x
  3. Step 3: Cross multiply
    5,728,366,155,349.40x = 8,592,549,233,023.80 × 5,728,366,155,349.40
  4. Step 4: Simplify right side
    5,728,366,155,349.40x = 49,221,268,214,626,979,397,238,784
  5. Step 5: Solve for x
    x = 49,221,268,214,626,979,397,238,784/5,728,366,155,349.40
  6. Step 6: Final answer
    x = 8,592,549,233,023.80

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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.