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Finding the Fourth Proportional to 1,602,974,892, 2,402,784,161.77 and 670,831,806.67

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Solution

The fourth proportional to 1,602,974,892, 2,402,784,161.77 and 670,831,806.67 is: 1,005,545,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,974,892 : 2,402,784,161.77 = 670,831,806.67 : x
  2. Step 2: Convert to fraction form
    1,602,974,892/2,402,784,161.77 = 670,831,806.67/x
  3. Step 3: Cross multiply
    1,602,974,892x = 2,402,784,161.77 × 670,831,806.67
  4. Step 4: Simplify right side
    1,602,974,892x = 1,611,864,040,278,230,528
  5. Step 5: Solve for x
    x = 1,611,864,040,278,230,528/1,602,974,892
  6. Step 6: Final answer
    x = 1,005,545,407.06

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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.