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Finding the Fourth Proportional to 599,119,803.60, 898,679,705.40 and 490,280,686.80

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Solution

The fourth proportional to 599,119,803.60, 898,679,705.40 and 490,280,686.80 is: 735,421,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,119,803.60 : 898,679,705.40 = 490,280,686.80 : x
  2. Step 2: Convert to fraction form
    599,119,803.60/898,679,705.40 = 490,280,686.80/x
  3. Step 3: Cross multiply
    599,119,803.60x = 898,679,705.40 × 490,280,686.80
  4. Step 4: Simplify right side
    599,119,803.60x = 440,605,303,176,733,696
  5. Step 5: Solve for x
    x = 440,605,303,176,733,696/599,119,803.60
  6. Step 6: Final answer
    x = 735,421,030.20

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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.