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Finding the Fourth Proportional to 7,338,576,136.80, 10,303,030,356 and 7,338,576,136.80

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Solution

The fourth proportional to 7,338,576,136.80, 10,303,030,356 and 7,338,576,136.80 is: 10,303,030,356

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338,576,136.80 : 10,303,030,356 = 7,338,576,136.80 : x
  2. Step 2: Convert to fraction form
    7,338,576,136.80/10,303,030,356 = 7,338,576,136.80/x
  3. Step 3: Cross multiply
    7,338,576,136.80x = 10,303,030,356 × 7,338,576,136.80
  4. Step 4: Simplify right side
    7,338,576,136.80x = 75,609,572,707,267,608,576
  5. Step 5: Solve for x
    x = 75,609,572,707,267,608,576/7,338,576,136.80
  6. Step 6: Final answer
    x = 10,303,030,356

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.