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Finding the Fourth Proportional to 2,125,402,416,271.30, 3,188,103,624,407 and 2,125,402,416,271.30

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Solution

The fourth proportional to 2,125,402,416,271.30, 3,188,103,624,407 and 2,125,402,416,271.30 is: 3,188,103,624,407

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,416,271.30 : 3,188,103,624,407 = 2,125,402,416,271.30 : x
  2. Step 2: Convert to fraction form
    2,125,402,416,271.30/3,188,103,624,407 = 2,125,402,416,271.30/x
  3. Step 3: Cross multiply
    2,125,402,416,271.30x = 3,188,103,624,407 × 2,125,402,416,271.30
  4. Step 4: Simplify right side
    2,125,402,416,271.30x = 6,776,003,146,637,927,023,378,432
  5. Step 5: Solve for x
    x = 6,776,003,146,637,927,023,378,432/2,125,402,416,271.30
  6. Step 6: Final answer
    x = 3,188,103,624,407

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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.