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Finding the Fourth Proportional to 340,111,623,699.15, 510,167,435,548.73 and 340,111,623,699.15

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Solution

The fourth proportional to 340,111,623,699.15, 510,167,435,548.73 and 340,111,623,699.15 is: 510,167,435,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,111,623,699.15 : 510,167,435,548.73 = 340,111,623,699.15 : x
  2. Step 2: Convert to fraction form
    340,111,623,699.15/510,167,435,548.73 = 340,111,623,699.15/x
  3. Step 3: Cross multiply
    340,111,623,699.15x = 510,167,435,548.73 × 340,111,623,699.15
  4. Step 4: Simplify right side
    340,111,623,699.15x = 173,513,874,862,910,012,915,712
  5. Step 5: Solve for x
    x = 173,513,874,862,910,012,915,712/340,111,623,699.15
  6. Step 6: Final answer
    x = 510,167,435,548.73

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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.