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Finding the Fourth Proportional to 6,524,075,363.40, 9,786,113,045.10 and 6,524,075,363.40

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Solution

The fourth proportional to 6,524,075,363.40, 9,786,113,045.10 and 6,524,075,363.40 is: 9,786,113,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,075,363.40 : 9,786,113,045.10 = 6,524,075,363.40 : x
  2. Step 2: Convert to fraction form
    6,524,075,363.40/9,786,113,045.10 = 6,524,075,363.40/x
  3. Step 3: Cross multiply
    6,524,075,363.40x = 9,786,113,045.10 × 6,524,075,363.40
  4. Step 4: Simplify right side
    6,524,075,363.40x = 63,845,339,020,984,262,656
  5. Step 5: Solve for x
    x = 63,845,339,020,984,262,656/6,524,075,363.40
  6. Step 6: Final answer
    x = 9,786,113,045.10

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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.