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Finding the Fourth Proportional to 5,503,898,045.10, 7,727,225,086.50 and 5,503,898,045.10

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Solution

The fourth proportional to 5,503,898,045.10, 7,727,225,086.50 and 5,503,898,045.10 is: 7,727,225,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503,898,045.10 : 7,727,225,086.50 = 5,503,898,045.10 : x
  2. Step 2: Convert to fraction form
    5,503,898,045.10/7,727,225,086.50 = 5,503,898,045.10/x
  3. Step 3: Cross multiply
    5,503,898,045.10x = 7,727,225,086.50 × 5,503,898,045.10
  4. Step 4: Simplify right side
    5,503,898,045.10x = 42,529,859,047,635,034,112
  5. Step 5: Solve for x
    x = 42,529,859,047,635,034,112/5,503,898,045.10
  6. Step 6: Final answer
    x = 7,727,225,086.50

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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.