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Finding the Fourth Proportional to 2,884,381,683.30, 4,047,317,657.10 and 2,884,381,683.30

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Solution

The fourth proportional to 2,884,381,683.30, 4,047,317,657.10 and 2,884,381,683.30 is: 4,047,317,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884,381,683.30 : 4,047,317,657.10 = 2,884,381,683.30 : x
  2. Step 2: Convert to fraction form
    2,884,381,683.30/4,047,317,657.10 = 2,884,381,683.30/x
  3. Step 3: Cross multiply
    2,884,381,683.30x = 4,047,317,657.10 × 2,884,381,683.30
  4. Step 4: Simplify right side
    2,884,381,683.30x = 11,674,008,916,635,910,144
  5. Step 5: Solve for x
    x = 11,674,008,916,635,910,144/2,884,381,683.30
  6. Step 6: Final answer
    x = 4,047,317,657.10

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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.