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Finding the Fourth Proportional to 593,664,116.80, 829,431,070.40 and 593,664,116.80

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Solution

The fourth proportional to 593,664,116.80, 829,431,070.40 and 593,664,116.80 is: 829,431,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,664,116.80 : 829,431,070.40 = 593,664,116.80 : x
  2. Step 2: Convert to fraction form
    593,664,116.80/829,431,070.40 = 593,664,116.80/x
  3. Step 3: Cross multiply
    593,664,116.80x = 829,431,070.40 × 593,664,116.80
  4. Step 4: Simplify right side
    593,664,116.80x = 492,403,463,855,494,592
  5. Step 5: Solve for x
    x = 492,403,463,855,494,592/593,664,116.80
  6. Step 6: Final answer
    x = 829,431,070.40

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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.