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Finding the Fourth Proportional to 5,668,716,710.10, 8,503,075,065.15 and 5,668,716,710.10

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Solution

The fourth proportional to 5,668,716,710.10, 8,503,075,065.15 and 5,668,716,710.10 is: 8,503,075,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668,716,710.10 : 8,503,075,065.15 = 5,668,716,710.10 : x
  2. Step 2: Convert to fraction form
    5,668,716,710.10/8,503,075,065.15 = 5,668,716,710.10/x
  3. Step 3: Cross multiply
    5,668,716,710.10x = 8,503,075,065.15 × 5,668,716,710.10
  4. Step 4: Simplify right side
    5,668,716,710.10x = 48,201,523,709,050,454,016
  5. Step 5: Solve for x
    x = 48,201,523,709,050,454,016/5,668,716,710.10
  6. Step 6: Final answer
    x = 8,503,075,065.15

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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.