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Finding the Fourth Proportional to 14,390,961,321.60, 21,586,441,982.40 and 14,390,961,321.60

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Solution

The fourth proportional to 14,390,961,321.60, 21,586,441,982.40 and 14,390,961,321.60 is: 21,586,441,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390,961,321.60 : 21,586,441,982.40 = 14,390,961,321.60 : x
  2. Step 2: Convert to fraction form
    14,390,961,321.60/21,586,441,982.40 = 14,390,961,321.60/x
  3. Step 3: Cross multiply
    14,390,961,321.60x = 21,586,441,982.40 × 14,390,961,321.60
  4. Step 4: Simplify right side
    14,390,961,321.60x = 310,649,651,639,680,827,392
  5. Step 5: Solve for x
    x = 310,649,651,639,680,827,392/14,390,961,321.60
  6. Step 6: Final answer
    x = 21,586,441,982.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.