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Finding the Fourth Proportional to 10,759,849,748,052, 16,139,774,622,078 and 10,759,849,748,052

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Solution

The fourth proportional to 10,759,849,748,052, 16,139,774,622,078 and 10,759,849,748,052 is: 16,139,774,622,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759,849,748,052 : 16,139,774,622,078 = 10,759,849,748,052 : x
  2. Step 2: Convert to fraction form
    10,759,849,748,052/16,139,774,622,078 = 10,759,849,748,052/x
  3. Step 3: Cross multiply
    10,759,849,748,052x = 16,139,774,622,078 × 10,759,849,748,052
  4. Step 4: Simplify right side
    10,759,849,748,052x = 173,661,549,900,982,040,456,593,408
  5. Step 5: Solve for x
    x = 173,661,549,900,982,040,456,593,408/10,759,849,748,052
  6. Step 6: Final answer
    x = 16,139,774,622,078

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.