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Finding the Fourth Proportional to 524,089,700.12, 723,238,798.48 and 289,142,258.42

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Solution

The fourth proportional to 524,089,700.12, 723,238,798.48 and 289,142,258.42 is: 399,013,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,089,700.12 : 723,238,798.48 = 289,142,258.42 : x
  2. Step 2: Convert to fraction form
    524,089,700.12/723,238,798.48 = 289,142,258.42/x
  3. Step 3: Cross multiply
    524,089,700.12x = 723,238,798.48 × 289,142,258.42
  4. Step 4: Simplify right side
    524,089,700.12x = 209,118,899,569,474,496
  5. Step 5: Solve for x
    x = 209,118,899,569,474,496/524,089,700.12
  6. Step 6: Final answer
    x = 399,013,564.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.