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Finding the Fourth Proportional to 6,820,237,075.70, 10,230,355,613.55 and 6,820,237,075.70

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Solution

The fourth proportional to 6,820,237,075.70, 10,230,355,613.55 and 6,820,237,075.70 is: 10,230,355,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820,237,075.70 : 10,230,355,613.55 = 6,820,237,075.70 : x
  2. Step 2: Convert to fraction form
    6,820,237,075.70/10,230,355,613.55 = 6,820,237,075.70/x
  3. Step 3: Cross multiply
    6,820,237,075.70x = 10,230,355,613.55 × 6,820,237,075.70
  4. Step 4: Simplify right side
    6,820,237,075.70x = 69,773,450,653,129,326,592
  5. Step 5: Solve for x
    x = 69,773,450,653,129,326,592/6,820,237,075.70
  6. Step 6: Final answer
    x = 10,230,355,613.55

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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.