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Finding the Fourth Proportional to 290,007,522,813.60, 435,011,284,220.40 and 290,007,522,813.60

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Solution

The fourth proportional to 290,007,522,813.60, 435,011,284,220.40 and 290,007,522,813.60 is: 435,011,284,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,007,522,813.60 : 435,011,284,220.40 = 290,007,522,813.60 : x
  2. Step 2: Convert to fraction form
    290,007,522,813.60/435,011,284,220.40 = 290,007,522,813.60/x
  3. Step 3: Cross multiply
    290,007,522,813.60x = 435,011,284,220.40 × 290,007,522,813.60
  4. Step 4: Simplify right side
    290,007,522,813.60x = 126,156,544,932,721,077,518,336
  5. Step 5: Solve for x
    x = 126,156,544,932,721,077,518,336/290,007,522,813.60
  6. Step 6: Final answer
    x = 435,011,284,220.40

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1.5x scale

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.