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Finding the Fourth Proportional to 300,535,283,634.70, 450,802,925,452.05 and 300,535,283,634.70

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Solution

The fourth proportional to 300,535,283,634.70, 450,802,925,452.05 and 300,535,283,634.70 is: 450,802,925,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,535,283,634.70 : 450,802,925,452.05 = 300,535,283,634.70 : x
  2. Step 2: Convert to fraction form
    300,535,283,634.70/450,802,925,452.05 = 300,535,283,634.70/x
  3. Step 3: Cross multiply
    300,535,283,634.70x = 450,802,925,452.05 × 300,535,283,634.70
  4. Step 4: Simplify right side
    300,535,283,634.70x = 135,482,185,064,084,366,426,112
  5. Step 5: Solve for x
    x = 135,482,185,064,084,366,426,112/300,535,283,634.70
  6. Step 6: Final answer
    x = 450,802,925,452.05

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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.