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Finding the Fourth Proportional to 100,602,017.80, 150,903,026.70 and 49,583,681.80

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Solution

The fourth proportional to 100,602,017.80, 150,903,026.70 and 49,583,681.80 is: 74,375,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602,017.80 : 150,903,026.70 = 49,583,681.80 : x
  2. Step 2: Convert to fraction form
    100,602,017.80/150,903,026.70 = 49,583,681.80/x
  3. Step 3: Cross multiply
    100,602,017.80x = 150,903,026.70 × 49,583,681.80
  4. Step 4: Simplify right side
    100,602,017.80x = 7,482,327,658,549,703
  5. Step 5: Solve for x
    x = 7,482,327,658,549,703/100,602,017.80
  6. Step 6: Final answer
    x = 74,375,522.70

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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.