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Finding the Fourth Proportional to 279,420,174,020.08, 419,130,261,030.10 and 279,420,174,020.08

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Solution

The fourth proportional to 279,420,174,020.08, 419,130,261,030.10 and 279,420,174,020.08 is: 419,130,261,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,420,174,020.08 : 419,130,261,030.10 = 279,420,174,020.08 : x
  2. Step 2: Convert to fraction form
    279,420,174,020.08/419,130,261,030.10 = 279,420,174,020.08/x
  3. Step 3: Cross multiply
    279,420,174,020.08x = 419,130,261,030.10 × 279,420,174,020.08
  4. Step 4: Simplify right side
    279,420,174,020.08x = 117,113,450,474,112,091,684,864
  5. Step 5: Solve for x
    x = 117,113,450,474,112,091,684,864/279,420,174,020.08
  6. Step 6: Final answer
    x = 419,130,261,030.10

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1.5x scale

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.