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Finding the Fourth Proportional to 146,009,894,348.10, 219,014,841,522.15 and 146,009,894,348.10

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Solution

The fourth proportional to 146,009,894,348.10, 219,014,841,522.15 and 146,009,894,348.10 is: 219,014,841,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,009,894,348.10 : 219,014,841,522.15 = 146,009,894,348.10 : x
  2. Step 2: Convert to fraction form
    146,009,894,348.10/219,014,841,522.15 = 146,009,894,348.10/x
  3. Step 3: Cross multiply
    146,009,894,348.10x = 219,014,841,522.15 × 146,009,894,348.10
  4. Step 4: Simplify right side
    146,009,894,348.10x = 31,978,333,871,314,988,695,552
  5. Step 5: Solve for x
    x = 31,978,333,871,314,988,695,552/146,009,894,348.10
  6. Step 6: Final answer
    x = 219,014,841,522.15

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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.