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Finding the Fourth Proportional to 599,105,019.60, 898,657,529.40 and 576,146,768.40

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Solution

The fourth proportional to 599,105,019.60, 898,657,529.40 and 576,146,768.40 is: 864,220,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,105,019.60 : 898,657,529.40 = 576,146,768.40 : x
  2. Step 2: Convert to fraction form
    599,105,019.60/898,657,529.40 = 576,146,768.40/x
  3. Step 3: Cross multiply
    599,105,019.60x = 898,657,529.40 × 576,146,768.40
  4. Step 4: Simplify right side
    599,105,019.60x = 517,758,631,462,137,984
  5. Step 5: Solve for x
    x = 517,758,631,462,137,984/599,105,019.60
  6. Step 6: Final answer
    x = 864,220,152.60

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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.