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Finding the Fourth Proportional to 524,460,312.40, 785,178,814.20 and 524,460,312.40

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Solution

The fourth proportional to 524,460,312.40, 785,178,814.20 and 524,460,312.40 is: 785,178,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,460,312.40 : 785,178,814.20 = 524,460,312.40 : x
  2. Step 2: Convert to fraction form
    524,460,312.40/785,178,814.20 = 524,460,312.40/x
  3. Step 3: Cross multiply
    524,460,312.40x = 785,178,814.20 × 524,460,312.40
  4. Step 4: Simplify right side
    524,460,312.40x = 411,795,126,185,193,536
  5. Step 5: Solve for x
    x = 411,795,126,185,193,536/524,460,312.40
  6. Step 6: Final answer
    x = 785,178,814.20

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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.