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Finding the Fourth Proportional to 14,329,224,005.60, 21,493,836,008.40 and 14,329,224,005.60

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Solution

The fourth proportional to 14,329,224,005.60, 21,493,836,008.40 and 14,329,224,005.60 is: 21,493,836,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329,224,005.60 : 21,493,836,008.40 = 14,329,224,005.60 : x
  2. Step 2: Convert to fraction form
    14,329,224,005.60/21,493,836,008.40 = 14,329,224,005.60/x
  3. Step 3: Cross multiply
    14,329,224,005.60x = 21,493,836,008.40 × 14,329,224,005.60
  4. Step 4: Simplify right side
    14,329,224,005.60x = 307,989,990,903,994,974,208
  5. Step 5: Solve for x
    x = 307,989,990,903,994,974,208/14,329,224,005.60
  6. Step 6: Final answer
    x = 21,493,836,008.40

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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.