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Finding the Fourth Proportional to 732,676,602.70, 1,099,014,904.05 and 727,574,769.10

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Solution

The fourth proportional to 732,676,602.70, 1,099,014,904.05 and 727,574,769.10 is: 1,091,362,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,676,602.70 : 1,099,014,904.05 = 727,574,769.10 : x
  2. Step 2: Convert to fraction form
    732,676,602.70/1,099,014,904.05 = 727,574,769.10/x
  3. Step 3: Cross multiply
    732,676,602.70x = 1,099,014,904.05 × 727,574,769.10
  4. Step 4: Simplify right side
    732,676,602.70x = 799,615,515,051,637,376
  5. Step 5: Solve for x
    x = 799,615,515,051,637,376/732,676,602.70
  6. Step 6: Final answer
    x = 1,091,362,153.65

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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.