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Finding the Fourth Proportional to 523,942,783.40, 734,594,851 and 523,942,783.40

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Solution

The fourth proportional to 523,942,783.40, 734,594,851 and 523,942,783.40 is: 734,594,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,942,783.40 : 734,594,851 = 523,942,783.40 : x
  2. Step 2: Convert to fraction form
    523,942,783.40/734,594,851 = 523,942,783.40/x
  3. Step 3: Cross multiply
    523,942,783.40x = 734,594,851 × 523,942,783.40
  4. Step 4: Simplify right side
    523,942,783.40x = 384,885,670,904,248,256
  5. Step 5: Solve for x
    x = 384,885,670,904,248,256/523,942,783.40
  6. Step 6: Final answer
    x = 734,594,851

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.