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Finding the Fourth Proportional to 2,291,880,681.15, 3,437,821,021.73 and 2,291,880,681.15

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Solution

The fourth proportional to 2,291,880,681.15, 3,437,821,021.73 and 2,291,880,681.15 is: 3,437,821,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,880,681.15 : 3,437,821,021.73 = 2,291,880,681.15 : x
  2. Step 2: Convert to fraction form
    2,291,880,681.15/3,437,821,021.73 = 2,291,880,681.15/x
  3. Step 3: Cross multiply
    2,291,880,681.15x = 3,437,821,021.73 × 2,291,880,681.15
  4. Step 4: Simplify right side
    2,291,880,681.15x = 7,879,075,584,942,881,792
  5. Step 5: Solve for x
    x = 7,879,075,584,942,881,792/2,291,880,681.15
  6. Step 6: Final answer
    x = 3,437,821,021.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.