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Finding the Fourth Proportional to 1,076,004,301.05, 1,611,455,534.78 and 1,076,004,301.05

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Solution

The fourth proportional to 1,076,004,301.05, 1,611,455,534.78 and 1,076,004,301.05 is: 1,611,455,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,004,301.05 : 1,611,455,534.78 = 1,076,004,301.05 : x
  2. Step 2: Convert to fraction form
    1,076,004,301.05/1,611,455,534.78 = 1,076,004,301.05/x
  3. Step 3: Cross multiply
    1,076,004,301.05x = 1,611,455,534.78 × 1,076,004,301.05
  4. Step 4: Simplify right side
    1,076,004,301.05x = 1,733,933,086,368,727,808
  5. Step 5: Solve for x
    x = 1,733,933,086,368,727,808/1,076,004,301.05
  6. Step 6: Final answer
    x = 1,611,455,534.78

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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.