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Finding the Fourth Proportional to 564,730,266.60, 848,796,011.10 and 489,903,373.80

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Solution

The fourth proportional to 564,730,266.60, 848,796,011.10 and 489,903,373.80 is: 736,330,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,730,266.60 : 848,796,011.10 = 489,903,373.80 : x
  2. Step 2: Convert to fraction form
    564,730,266.60/848,796,011.10 = 489,903,373.80/x
  3. Step 3: Cross multiply
    564,730,266.60x = 848,796,011.10 × 489,903,373.80
  4. Step 4: Simplify right side
    564,730,266.60x = 415,828,029,505,872,256
  5. Step 5: Solve for x
    x = 415,828,029,505,872,256/564,730,266.60
  6. Step 6: Final answer
    x = 736,330,340.52

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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.