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Finding the Fourth Proportional to 96,892,963,276.40, 145,339,444,914.60 and 96,892,963,276.40

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Solution

The fourth proportional to 96,892,963,276.40, 145,339,444,914.60 and 96,892,963,276.40 is: 145,339,444,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,892,963,276.40 : 145,339,444,914.60 = 96,892,963,276.40 : x
  2. Step 2: Convert to fraction form
    96,892,963,276.40/145,339,444,914.60 = 96,892,963,276.40/x
  3. Step 3: Cross multiply
    96,892,963,276.40x = 145,339,444,914.60 × 96,892,963,276.40
  4. Step 4: Simplify right side
    96,892,963,276.40x = 14,082,369,498,722,697,478,144
  5. Step 5: Solve for x
    x = 14,082,369,498,722,697,478,144/96,892,963,276.40
  6. Step 6: Final answer
    x = 145,339,444,914.60

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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.