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Finding the Fourth Proportional to 660,051,921,834.40, 990,077,882,751.60 and 660,051,921,834.40

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Solution

The fourth proportional to 660,051,921,834.40, 990,077,882,751.60 and 660,051,921,834.40 is: 990,077,882,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,051,921,834.40 : 990,077,882,751.60 = 660,051,921,834.40 : x
  2. Step 2: Convert to fraction form
    660,051,921,834.40/990,077,882,751.60 = 660,051,921,834.40/x
  3. Step 3: Cross multiply
    660,051,921,834.40x = 990,077,882,751.60 × 660,051,921,834.40
  4. Step 4: Simplify right side
    660,051,921,834.40x = 653,502,809,275,927,296,475,136
  5. Step 5: Solve for x
    x = 653,502,809,275,927,296,475,136/660,051,921,834.40
  6. Step 6: Final answer
    x = 990,077,882,751.60

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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.