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Finding the Fourth Proportional to 523,907,999.90, 734,546,154.10 and 523,907,999.90

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Solution

The fourth proportional to 523,907,999.90, 734,546,154.10 and 523,907,999.90 is: 734,546,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,907,999.90 : 734,546,154.10 = 523,907,999.90 : x
  2. Step 2: Convert to fraction form
    523,907,999.90/734,546,154.10 = 523,907,999.90/x
  3. Step 3: Cross multiply
    523,907,999.90x = 734,546,154.10 × 523,907,999.90
  4. Step 4: Simplify right side
    523,907,999.90x = 384,834,606,428,768,192
  5. Step 5: Solve for x
    x = 384,834,606,428,768,192/523,907,999.90
  6. Step 6: Final answer
    x = 734,546,154.10

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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.