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Finding the Fourth Proportional to 6,205,739,892,783.40, 9,308,609,839,174.50 and 6,205,739,892,783.40

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Solution

The fourth proportional to 6,205,739,892,783.40, 9,308,609,839,174.50 and 6,205,739,892,783.40 is: 9,308,609,839,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,739,892,783.40 : 9,308,609,839,174.50 = 6,205,739,892,783.40 : x
  2. Step 2: Convert to fraction form
    6,205,739,892,783.40/9,308,609,839,174.50 = 6,205,739,892,783.40/x
  3. Step 3: Cross multiply
    6,205,739,892,783.40x = 9,308,609,839,174.50 × 6,205,739,892,783.40
  4. Step 4: Simplify right side
    6,205,739,892,783.40x = 57,766,811,425,321,264,307,240,960
  5. Step 5: Solve for x
    x = 57,766,811,425,321,264,307,240,960/6,205,739,892,783.40
  6. Step 6: Final answer
    x = 9,308,609,839,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.