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Finding the Fourth Proportional to 414,573,860,737.60, 621,860,791,106.40 and 414,573,860,737.60

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Solution

The fourth proportional to 414,573,860,737.60, 621,860,791,106.40 and 414,573,860,737.60 is: 621,860,791,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,573,860,737.60 : 621,860,791,106.40 = 414,573,860,737.60 : x
  2. Step 2: Convert to fraction form
    414,573,860,737.60/621,860,791,106.40 = 414,573,860,737.60/x
  3. Step 3: Cross multiply
    414,573,860,737.60x = 621,860,791,106.40 × 414,573,860,737.60
  4. Step 4: Simplify right side
    414,573,860,737.60x = 257,807,229,010,318,416,936,960
  5. Step 5: Solve for x
    x = 257,807,229,010,318,416,936,960/414,573,860,737.60
  6. Step 6: Final answer
    x = 621,860,791,106.40

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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.