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Finding the Fourth Proportional to 340,402,176,960.60, 510,603,265,440.90 and 340,402,176,960.60

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Solution

The fourth proportional to 340,402,176,960.60, 510,603,265,440.90 and 340,402,176,960.60 is: 510,603,265,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,402,176,960.60 : 510,603,265,440.90 = 340,402,176,960.60 : x
  2. Step 2: Convert to fraction form
    340,402,176,960.60/510,603,265,440.90 = 340,402,176,960.60/x
  3. Step 3: Cross multiply
    340,402,176,960.60x = 510,603,265,440.90 × 340,402,176,960.60
  4. Step 4: Simplify right side
    340,402,176,960.60x = 173,810,463,119,273,464,168,448
  5. Step 5: Solve for x
    x = 173,810,463,119,273,464,168,448/340,402,176,960.60
  6. Step 6: Final answer
    x = 510,603,265,440.90

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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.