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Finding the Fourth Proportional to 5,057,301,672.90, 7,585,952,509.35 and 5,057,301,672.90

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Solution

The fourth proportional to 5,057,301,672.90, 7,585,952,509.35 and 5,057,301,672.90 is: 7,585,952,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057,301,672.90 : 7,585,952,509.35 = 5,057,301,672.90 : x
  2. Step 2: Convert to fraction form
    5,057,301,672.90/7,585,952,509.35 = 5,057,301,672.90/x
  3. Step 3: Cross multiply
    5,057,301,672.90x = 7,585,952,509.35 × 5,057,301,672.90
  4. Step 4: Simplify right side
    5,057,301,672.90x = 38,364,450,316,075,704,320
  5. Step 5: Solve for x
    x = 38,364,450,316,075,704,320/5,057,301,672.90
  6. Step 6: Final answer
    x = 7,585,952,509.35

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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.