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Finding the Fourth Proportional to 660,049,731,430.40, 990,074,597,145.60 and 660,049,731,430.40

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Solution

The fourth proportional to 660,049,731,430.40, 990,074,597,145.60 and 660,049,731,430.40 is: 990,074,597,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,049,731,430.40 : 990,074,597,145.60 = 660,049,731,430.40 : x
  2. Step 2: Convert to fraction form
    660,049,731,430.40/990,074,597,145.60 = 660,049,731,430.40/x
  3. Step 3: Cross multiply
    660,049,731,430.40x = 990,074,597,145.60 × 660,049,731,430.40
  4. Step 4: Simplify right side
    660,049,731,430.40x = 653,498,471,942,014,776,639,488
  5. Step 5: Solve for x
    x = 653,498,471,942,014,776,639,488/660,049,731,430.40
  6. Step 6: Final answer
    x = 990,074,597,145.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.