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Finding the Fourth Proportional to 1,057,030,200.30, 1,585,545,300.45 and 1,057,030,200.30

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Solution

The fourth proportional to 1,057,030,200.30, 1,585,545,300.45 and 1,057,030,200.30 is: 1,585,545,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,030,200.30 : 1,585,545,300.45 = 1,057,030,200.30 : x
  2. Step 2: Convert to fraction form
    1,057,030,200.30/1,585,545,300.45 = 1,057,030,200.30/x
  3. Step 3: Cross multiply
    1,057,030,200.30x = 1,585,545,300.45 × 1,057,030,200.30
  4. Step 4: Simplify right side
    1,057,030,200.30x = 1,675,969,266,519,387,136
  5. Step 5: Solve for x
    x = 1,675,969,266,519,387,136/1,057,030,200.30
  6. Step 6: Final answer
    x = 1,585,545,300.45

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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.