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Finding the Fourth Proportional to 509,923,266.30, 764,884,899.45 and 509,923,266.30

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Solution

The fourth proportional to 509,923,266.30, 764,884,899.45 and 509,923,266.30 is: 764,884,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,923,266.30 : 764,884,899.45 = 509,923,266.30 : x
  2. Step 2: Convert to fraction form
    509,923,266.30/764,884,899.45 = 509,923,266.30/x
  3. Step 3: Cross multiply
    509,923,266.30x = 764,884,899.45 × 509,923,266.30
  4. Step 4: Simplify right side
    509,923,266.30x = 390,032,606,271,091,136
  5. Step 5: Solve for x
    x = 390,032,606,271,091,136/509,923,266.30
  6. Step 6: Final answer
    x = 764,884,899.45

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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.