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Finding the Fourth Proportional to 260,772,838,200.90, 391,159,257,301.35 and 260,772,838,200.90

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Solution

The fourth proportional to 260,772,838,200.90, 391,159,257,301.35 and 260,772,838,200.90 is: 391,159,257,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,772,838,200.90 : 391,159,257,301.35 = 260,772,838,200.90 : x
  2. Step 2: Convert to fraction form
    260,772,838,200.90/391,159,257,301.35 = 260,772,838,200.90/x
  3. Step 3: Cross multiply
    260,772,838,200.90x = 391,159,257,301.35 × 260,772,838,200.90
  4. Step 4: Simplify right side
    260,772,838,200.90x = 102,003,709,715,029,147,254,784
  5. Step 5: Solve for x
    x = 102,003,709,715,029,147,254,784/260,772,838,200.90
  6. Step 6: Final answer
    x = 391,159,257,301.35

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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.