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Finding the Fourth Proportional to 205,166,522,117.70, 307,749,783,176.55 and 205,166,522,117.70

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Solution

The fourth proportional to 205,166,522,117.70, 307,749,783,176.55 and 205,166,522,117.70 is: 307,749,783,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,166,522,117.70 : 307,749,783,176.55 = 205,166,522,117.70 : x
  2. Step 2: Convert to fraction form
    205,166,522,117.70/307,749,783,176.55 = 205,166,522,117.70/x
  3. Step 3: Cross multiply
    205,166,522,117.70x = 307,749,783,176.55 × 205,166,522,117.70
  4. Step 4: Simplify right side
    205,166,522,117.70x = 63,139,952,696,809,029,107,712
  5. Step 5: Solve for x
    x = 63,139,952,696,809,029,107,712/205,166,522,117.70
  6. Step 6: Final answer
    x = 307,749,783,176.55

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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.