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Finding the Fourth Proportional to 368,293,716,054.80, 552,440,574,082.20 and 368,293,716,054.80

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Solution

The fourth proportional to 368,293,716,054.80, 552,440,574,082.20 and 368,293,716,054.80 is: 552,440,574,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,293,716,054.80 : 552,440,574,082.20 = 368,293,716,054.80 : x
  2. Step 2: Convert to fraction form
    368,293,716,054.80/552,440,574,082.20 = 368,293,716,054.80/x
  3. Step 3: Cross multiply
    368,293,716,054.80x = 552,440,574,082.20 × 368,293,716,054.80
  4. Step 4: Simplify right side
    368,293,716,054.80x = 203,460,391,928,180,454,195,200
  5. Step 5: Solve for x
    x = 203,460,391,928,180,454,195,200/368,293,716,054.80
  6. Step 6: Final answer
    x = 552,440,574,082.20

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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.