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Finding the Fourth Proportional to 7,338,574,952.80, 10,303,028,698.40 and 7,338,574,952.80

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Solution

The fourth proportional to 7,338,574,952.80, 10,303,028,698.40 and 7,338,574,952.80 is: 10,303,028,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338,574,952.80 : 10,303,028,698.40 = 7,338,574,952.80 : x
  2. Step 2: Convert to fraction form
    7,338,574,952.80/10,303,028,698.40 = 7,338,574,952.80/x
  3. Step 3: Cross multiply
    7,338,574,952.80x = 10,303,028,698.40 × 7,338,574,952.80
  4. Step 4: Simplify right side
    7,338,574,952.80x = 75,609,548,344,057,823,232
  5. Step 5: Solve for x
    x = 75,609,548,344,057,823,232/7,338,574,952.80
  6. Step 6: Final answer
    x = 10,303,028,698.40

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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.