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Finding the Fourth Proportional to 749,882,005.90, 1,047,252,005 and 749,882,005.90

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Solution

The fourth proportional to 749,882,005.90, 1,047,252,005 and 749,882,005.90 is: 1,047,252,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,882,005.90 : 1,047,252,005 = 749,882,005.90 : x
  2. Step 2: Convert to fraction form
    749,882,005.90/1,047,252,005 = 749,882,005.90/x
  3. Step 3: Cross multiply
    749,882,005.90x = 1,047,252,005 × 749,882,005.90
  4. Step 4: Simplify right side
    749,882,005.90x = 785,315,434,192,196,864
  5. Step 5: Solve for x
    x = 785,315,434,192,196,864/749,882,005.90
  6. Step 6: Final answer
    x = 1,047,252,005.00

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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.