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Finding the Fourth Proportional to 5,388,768,838.40, 7,525,909,772.80 and 5,388,768,838.40

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Solution

The fourth proportional to 5,388,768,838.40, 7,525,909,772.80 and 5,388,768,838.40 is: 7,525,909,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388,768,838.40 : 7,525,909,772.80 = 5,388,768,838.40 : x
  2. Step 2: Convert to fraction form
    5,388,768,838.40/7,525,909,772.80 = 5,388,768,838.40/x
  3. Step 3: Cross multiply
    5,388,768,838.40x = 7,525,909,772.80 × 5,388,768,838.40
  4. Step 4: Simplify right side
    5,388,768,838.40x = 40,555,388,064,274,661,376
  5. Step 5: Solve for x
    x = 40,555,388,064,274,661,376/5,388,768,838.40
  6. Step 6: Final answer
    x = 7,525,909,772.80

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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.