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Finding the Fourth Proportional to 1,003,227,776,200.30, 1,504,841,664,300.50 and 1,003,227,776,200.30

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Solution

The fourth proportional to 1,003,227,776,200.30, 1,504,841,664,300.50 and 1,003,227,776,200.30 is: 1,504,841,664,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,227,776,200.30 : 1,504,841,664,300.50 = 1,003,227,776,200.30 : x
  2. Step 2: Convert to fraction form
    1,003,227,776,200.30/1,504,841,664,300.50 = 1,003,227,776,200.30/x
  3. Step 3: Cross multiply
    1,003,227,776,200.30x = 1,504,841,664,300.50 × 1,003,227,776,200.30
  4. Step 4: Simplify right side
    1,003,227,776,200.30x = 1,509,698,956,409,748,989,149,184
  5. Step 5: Solve for x
    x = 1,509,698,956,409,748,989,149,184/1,003,227,776,200.30
  6. Step 6: Final answer
    x = 1,504,841,664,300.50

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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.