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Finding the Fourth Proportional to 315,851,206.40, 473,776,809.60 and 315,851,206.40

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Solution

The fourth proportional to 315,851,206.40, 473,776,809.60 and 315,851,206.40 is: 473,776,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,851,206.40 : 473,776,809.60 = 315,851,206.40 : x
  2. Step 2: Convert to fraction form
    315,851,206.40/473,776,809.60 = 315,851,206.40/x
  3. Step 3: Cross multiply
    315,851,206.40x = 473,776,809.60 × 315,851,206.40
  4. Step 4: Simplify right side
    315,851,206.40x = 149,642,976,876,503,104
  5. Step 5: Solve for x
    x = 149,642,976,876,503,104/315,851,206.40
  6. Step 6: Final answer
    x = 473,776,809.60

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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.