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Finding the Fourth Proportional to 173,840,257,564.45, 260,760,386,346.67 and 173,840,257,564.45

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Solution

The fourth proportional to 173,840,257,564.45, 260,760,386,346.67 and 173,840,257,564.45 is: 260,760,386,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,257,564.45 : 260,760,386,346.67 = 173,840,257,564.45 : x
  2. Step 2: Convert to fraction form
    173,840,257,564.45/260,760,386,346.67 = 173,840,257,564.45/x
  3. Step 3: Cross multiply
    173,840,257,564.45x = 260,760,386,346.67 × 173,840,257,564.45
  4. Step 4: Simplify right side
    173,840,257,564.45x = 45,330,652,725,110,611,378,176
  5. Step 5: Solve for x
    x = 45,330,652,725,110,611,378,176/173,840,257,564.45
  6. Step 6: Final answer
    x = 260,760,386,346.67

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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.