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Finding the Fourth Proportional to 7,841,834,626.15, 11,006,118,378.05 and 7,841,834,626.15

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Solution

The fourth proportional to 7,841,834,626.15, 11,006,118,378.05 and 7,841,834,626.15 is: 11,006,118,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,834,626.15 : 11,006,118,378.05 = 7,841,834,626.15 : x
  2. Step 2: Convert to fraction form
    7,841,834,626.15/11,006,118,378.05 = 7,841,834,626.15/x
  3. Step 3: Cross multiply
    7,841,834,626.15x = 11,006,118,378.05 × 7,841,834,626.15
  4. Step 4: Simplify right side
    7,841,834,626.15x = 86,308,160,196,498,358,272
  5. Step 5: Solve for x
    x = 86,308,160,196,498,358,272/7,841,834,626.15
  6. Step 6: Final answer
    x = 11,006,118,378.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.