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Finding the Fourth Proportional to 660,052,401,606.80, 990,078,602,410.20 and 660,052,401,606.80

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Solution

The fourth proportional to 660,052,401,606.80, 990,078,602,410.20 and 660,052,401,606.80 is: 990,078,602,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,052,401,606.80 : 990,078,602,410.20 = 660,052,401,606.80 : x
  2. Step 2: Convert to fraction form
    660,052,401,606.80/990,078,602,410.20 = 660,052,401,606.80/x
  3. Step 3: Cross multiply
    660,052,401,606.80x = 990,078,602,410.20 × 660,052,401,606.80
  4. Step 4: Simplify right side
    660,052,401,606.80x = 653,503,759,300,356,657,381,376
  5. Step 5: Solve for x
    x = 653,503,759,300,356,657,381,376/660,052,401,606.80
  6. Step 6: Final answer
    x = 990,078,602,410.20

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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.