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Finding the Fourth Proportional to 1,180,987,980.80, 1,771,481,971.20 and 874,877,964.80

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Solution

The fourth proportional to 1,180,987,980.80, 1,771,481,971.20 and 874,877,964.80 is: 1,312,316,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,987,980.80 : 1,771,481,971.20 = 874,877,964.80 : x
  2. Step 2: Convert to fraction form
    1,180,987,980.80/1,771,481,971.20 = 874,877,964.80/x
  3. Step 3: Cross multiply
    1,180,987,980.80x = 1,771,481,971.20 × 874,877,964.80
  4. Step 4: Simplify right side
    1,180,987,980.80x = 1,549,830,541,643,348,224
  5. Step 5: Solve for x
    x = 1,549,830,541,643,348,224/1,180,987,980.80
  6. Step 6: Final answer
    x = 1,312,316,947.20

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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.