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Finding the Fourth Proportional to 55,546,806.40, 77,574,210.20 and 55,546,806.40

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Solution

The fourth proportional to 55,546,806.40, 77,574,210.20 and 55,546,806.40 is: 77,574,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546,806.40 : 77,574,210.20 = 55,546,806.40 : x
  2. Step 2: Convert to fraction form
    55,546,806.40/77,574,210.20 = 55,546,806.40/x
  3. Step 3: Cross multiply
    55,546,806.40x = 77,574,210.20 × 55,546,806.40
  4. Step 4: Simplify right side
    55,546,806.40x = 4,308,999,635,612,305.50
  5. Step 5: Solve for x
    x = 4,308,999,635,612,305.50/55,546,806.40
  6. Step 6: Final answer
    x = 77,574,210.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.