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Finding the Fourth Proportional to 27,863,838,008.10, 39,119,572,817.10 and 27,863,838,008.10

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Solution

The fourth proportional to 27,863,838,008.10, 39,119,572,817.10 and 27,863,838,008.10 is: 39,119,572,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863,838,008.10 : 39,119,572,817.10 = 27,863,838,008.10 : x
  2. Step 2: Convert to fraction form
    27,863,838,008.10/39,119,572,817.10 = 27,863,838,008.10/x
  3. Step 3: Cross multiply
    27,863,838,008.10x = 39,119,572,817.10 × 27,863,838,008.10
  4. Step 4: Simplify right side
    27,863,838,008.10x = 1,090,021,439,921,746,477,056
  5. Step 5: Solve for x
    x = 1,090,021,439,921,746,477,056/27,863,838,008.10
  6. Step 6: Final answer
    x = 39,119,572,817.10

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