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Finding the Fourth Proportional to 707,461,172.70, 1,061,191,759.05 and 707,461,172.70

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Solution

The fourth proportional to 707,461,172.70, 1,061,191,759.05 and 707,461,172.70 is: 1,061,191,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,461,172.70 : 1,061,191,759.05 = 707,461,172.70 : x
  2. Step 2: Convert to fraction form
    707,461,172.70/1,061,191,759.05 = 707,461,172.70/x
  3. Step 3: Cross multiply
    707,461,172.70x = 1,061,191,759.05 × 707,461,172.70
  4. Step 4: Simplify right side
    707,461,172.70x = 750,751,966,317,088,896
  5. Step 5: Solve for x
    x = 750,751,966,317,088,896/707,461,172.70
  6. Step 6: Final answer
    x = 1,061,191,759.05

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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.