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Finding the Fourth Proportional to 4,829,657.90, 7,228,740.45 and 4,829,657.90

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Solution

The fourth proportional to 4,829,657.90, 7,228,740.45 and 4,829,657.90 is: 7,228,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,657.90 : 7,228,740.45 = 4,829,657.90 : x
  2. Step 2: Convert to fraction form
    4,829,657.90/7,228,740.45 = 4,829,657.90/x
  3. Step 3: Cross multiply
    4,829,657.90x = 7,228,740.45 × 4,829,657.90
  4. Step 4: Simplify right side
    4,829,657.90x = 34,912,343,421,392.06
  5. Step 5: Solve for x
    x = 34,912,343,421,392.06/4,829,657.90
  6. Step 6: Final answer
    x = 7,228,740.45

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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.