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Finding the Fourth Proportional to 3,421,787,652,088.70, 5,132,681,478,133.10 and 3,421,787,652,088.70

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Solution

The fourth proportional to 3,421,787,652,088.70, 5,132,681,478,133.10 and 3,421,787,652,088.70 is: 5,132,681,478,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,787,652,088.70 : 5,132,681,478,133.10 = 3,421,787,652,088.70 : x
  2. Step 2: Convert to fraction form
    3,421,787,652,088.70/5,132,681,478,133.10 = 3,421,787,652,088.70/x
  3. Step 3: Cross multiply
    3,421,787,652,088.70x = 5,132,681,478,133.10 × 3,421,787,652,088.70
  4. Step 4: Simplify right side
    3,421,787,652,088.70x = 17,562,946,103,980,217,709,101,056
  5. Step 5: Solve for x
    x = 17,562,946,103,980,217,709,101,056/3,421,787,652,088.70
  6. Step 6: Final answer
    x = 5,132,681,478,133.10

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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.