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Finding the Fourth Proportional to 545,894,106.40, 819,065,108.40 and 201,012,954.40

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Solution

The fourth proportional to 545,894,106.40, 819,065,108.40 and 201,012,954.40 is: 301,601,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,894,106.40 : 819,065,108.40 = 201,012,954.40 : x
  2. Step 2: Convert to fraction form
    545,894,106.40/819,065,108.40 = 201,012,954.40/x
  3. Step 3: Cross multiply
    545,894,106.40x = 819,065,108.40 × 201,012,954.40
  4. Step 4: Simplify right side
    545,894,106.40x = 164,642,697,285,440,256
  5. Step 5: Solve for x
    x = 164,642,697,285,440,256/545,894,106.40
  6. Step 6: Final answer
    x = 301,601,895.60

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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.