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Finding the Fourth Proportional to 4,672,316,580,552.40, 7,008,474,870,828.40 and 4,672,316,580,552.40

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Solution

The fourth proportional to 4,672,316,580,552.40, 7,008,474,870,828.40 and 4,672,316,580,552.40 is: 7,008,474,870,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672,316,580,552.40 : 7,008,474,870,828.40 = 4,672,316,580,552.40 : x
  2. Step 2: Convert to fraction form
    4,672,316,580,552.40/7,008,474,870,828.40 = 4,672,316,580,552.40/x
  3. Step 3: Cross multiply
    4,672,316,580,552.40x = 7,008,474,870,828.40 × 4,672,316,580,552.40
  4. Step 4: Simplify right side
    4,672,316,580,552.40x = 32,745,813,343,356,377,626,574,848
  5. Step 5: Solve for x
    x = 32,745,813,343,356,377,626,574,848/4,672,316,580,552.40
  6. Step 6: Final answer
    x = 7,008,474,870,828.40

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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.