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Finding the Fourth Proportional to 15,293,365,497.60, 22,940,048,246.40 and 15,293,365,497.60

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Solution

The fourth proportional to 15,293,365,497.60, 22,940,048,246.40 and 15,293,365,497.60 is: 22,940,048,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293,365,497.60 : 22,940,048,246.40 = 15,293,365,497.60 : x
  2. Step 2: Convert to fraction form
    15,293,365,497.60/22,940,048,246.40 = 15,293,365,497.60/x
  3. Step 3: Cross multiply
    15,293,365,497.60x = 22,940,048,246.40 × 15,293,365,497.60
  4. Step 4: Simplify right side
    15,293,365,497.60x = 350,830,542,364,773,187,584
  5. Step 5: Solve for x
    x = 350,830,542,364,773,187,584/15,293,365,497.60
  6. Step 6: Final answer
    x = 22,940,048,246.40

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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.