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Finding the Fourth Proportional to 10,215,140,284.05, 15,322,710,426.08 and 10,215,140,284.05

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Solution

The fourth proportional to 10,215,140,284.05, 15,322,710,426.08 and 10,215,140,284.05 is: 15,322,710,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,140,284.05 : 15,322,710,426.08 = 10,215,140,284.05 : x
  2. Step 2: Convert to fraction form
    10,215,140,284.05/15,322,710,426.08 = 10,215,140,284.05/x
  3. Step 3: Cross multiply
    10,215,140,284.05x = 15,322,710,426.08 × 10,215,140,284.05
  4. Step 4: Simplify right side
    10,215,140,284.05x = 156,523,636,534,231,662,592
  5. Step 5: Solve for x
    x = 156,523,636,534,231,662,592/10,215,140,284.05
  6. Step 6: Final answer
    x = 15,322,710,426.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.