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Finding the Fourth Proportional to 403,683,609,740.40, 605,525,414,610.60 and 403,683,609,740.40

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Solution

The fourth proportional to 403,683,609,740.40, 605,525,414,610.60 and 403,683,609,740.40 is: 605,525,414,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,683,609,740.40 : 605,525,414,610.60 = 403,683,609,740.40 : x
  2. Step 2: Convert to fraction form
    403,683,609,740.40/605,525,414,610.60 = 403,683,609,740.40/x
  3. Step 3: Cross multiply
    403,683,609,740.40x = 605,525,414,610.60 × 403,683,609,740.40
  4. Step 4: Simplify right side
    403,683,609,740.40x = 244,440,685,159,559,351,762,944
  5. Step 5: Solve for x
    x = 244,440,685,159,559,351,762,944/403,683,609,740.40
  6. Step 6: Final answer
    x = 605,525,414,610.60

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1.5x scale

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.