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Finding the Fourth Proportional to 377,591,004,064.20, 566,386,506,096.30 and 377,591,004,064.20

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Solution

The fourth proportional to 377,591,004,064.20, 566,386,506,096.30 and 377,591,004,064.20 is: 566,386,506,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,591,004,064.20 : 566,386,506,096.30 = 377,591,004,064.20 : x
  2. Step 2: Convert to fraction form
    377,591,004,064.20/566,386,506,096.30 = 377,591,004,064.20/x
  3. Step 3: Cross multiply
    377,591,004,064.20x = 566,386,506,096.30 × 377,591,004,064.20
  4. Step 4: Simplify right side
    377,591,004,064.20x = 213,862,449,525,316,074,340,352
  5. Step 5: Solve for x
    x = 213,862,449,525,316,074,340,352/377,591,004,064.20
  6. Step 6: Final answer
    x = 566,386,506,096.30

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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.