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Finding the Fourth Proportional to 9,896,646,916.40, 14,844,970,374.60 and 9,896,646,916.40

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Solution

The fourth proportional to 9,896,646,916.40, 14,844,970,374.60 and 9,896,646,916.40 is: 14,844,970,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896,646,916.40 : 14,844,970,374.60 = 9,896,646,916.40 : x
  2. Step 2: Convert to fraction form
    9,896,646,916.40/14,844,970,374.60 = 9,896,646,916.40/x
  3. Step 3: Cross multiply
    9,896,646,916.40x = 14,844,970,374.60 × 9,896,646,916.40
  4. Step 4: Simplify right side
    9,896,646,916.40x = 146,915,430,281,834,446,848
  5. Step 5: Solve for x
    x = 146,915,430,281,834,446,848/9,896,646,916.40
  6. Step 6: Final answer
    x = 14,844,970,374.60

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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.