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Finding the Fourth Proportional to 1,780,778,277,015, 2,671,167,415,522.40 and 1,780,778,277,015

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Solution

The fourth proportional to 1,780,778,277,015, 2,671,167,415,522.40 and 1,780,778,277,015 is: 2,671,167,415,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,778,277,015 : 2,671,167,415,522.40 = 1,780,778,277,015 : x
  2. Step 2: Convert to fraction form
    1,780,778,277,015/2,671,167,415,522.40 = 1,780,778,277,015/x
  3. Step 3: Cross multiply
    1,780,778,277,015x = 2,671,167,415,522.40 × 1,780,778,277,015
  4. Step 4: Simplify right side
    1,780,778,277,015x = 4,756,756,907,832,589,827,440,640
  5. Step 5: Solve for x
    x = 4,756,756,907,832,589,827,440,640/1,780,778,277,015
  6. Step 6: Final answer
    x = 2,671,167,415,522.40

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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.