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Finding the Fourth Proportional to 545,662,671.12, 753,013,328.04 and 298,145,800.08

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Solution

The fourth proportional to 545,662,671.12, 753,013,328.04 and 298,145,800.08 is: 411,440,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,662,671.12 : 753,013,328.04 = 298,145,800.08 : x
  2. Step 2: Convert to fraction form
    545,662,671.12/753,013,328.04 = 298,145,800.08/x
  3. Step 3: Cross multiply
    545,662,671.12x = 753,013,328.04 × 298,145,800.08
  4. Step 4: Simplify right side
    545,662,671.12x = 224,507,761,159,389,280
  5. Step 5: Solve for x
    x = 224,507,761,159,389,280/545,662,671.12
  6. Step 6: Final answer
    x = 411,440,571.33

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Why These Related Problems?

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