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Finding the Fourth Proportional to 532,677,422.94, 735,065,191.98 and 294,508,837.93

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Solution

The fourth proportional to 532,677,422.94, 735,065,191.98 and 294,508,837.93 is: 406,405,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,677,422.94 : 735,065,191.98 = 294,508,837.93 : x
  2. Step 2: Convert to fraction form
    532,677,422.94/735,065,191.98 = 294,508,837.93/x
  3. Step 3: Cross multiply
    532,677,422.94x = 735,065,191.98 × 294,508,837.93
  4. Step 4: Simplify right side
    532,677,422.94x = 216,483,195,492,822,176
  5. Step 5: Solve for x
    x = 216,483,195,492,822,176/532,677,422.94
  6. Step 6: Final answer
    x = 406,405,802.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.