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Finding the Fourth Proportional to 45,507,109,715.20, 68,260,664,572.80 and 45,507,109,715.20

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Solution

The fourth proportional to 45,507,109,715.20, 68,260,664,572.80 and 45,507,109,715.20 is: 68,260,664,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,507,109,715.20 : 68,260,664,572.80 = 45,507,109,715.20 : x
  2. Step 2: Convert to fraction form
    45,507,109,715.20/68,260,664,572.80 = 45,507,109,715.20/x
  3. Step 3: Cross multiply
    45,507,109,715.20x = 68,260,664,572.80 × 45,507,109,715.20
  4. Step 4: Simplify right side
    45,507,109,715.20x = 3,106,345,551,946,875,142,144
  5. Step 5: Solve for x
    x = 3,106,345,551,946,875,142,144/45,507,109,715.20
  6. Step 6: Final answer
    x = 68,260,664,572.80

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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.