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Finding the Fourth Proportional to 340,402,210,040.10, 510,603,315,060.14 and 340,402,210,040.10

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Solution

The fourth proportional to 340,402,210,040.10, 510,603,315,060.14 and 340,402,210,040.10 is: 510,603,315,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,402,210,040.10 : 510,603,315,060.14 = 340,402,210,040.10 : x
  2. Step 2: Convert to fraction form
    340,402,210,040.10/510,603,315,060.14 = 340,402,210,040.10/x
  3. Step 3: Cross multiply
    340,402,210,040.10x = 510,603,315,060.14 × 340,402,210,040.10
  4. Step 4: Simplify right side
    340,402,210,040.10x = 173,810,496,900,273,109,204,992
  5. Step 5: Solve for x
    x = 173,810,496,900,273,109,204,992/340,402,210,040.10
  6. Step 6: Final answer
    x = 510,603,315,060.14

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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.