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Finding the Fourth Proportional to 375,638,897.80, 563,458,346.70 and 230,520,075.40

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Solution

The fourth proportional to 375,638,897.80, 563,458,346.70 and 230,520,075.40 is: 345,780,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,638,897.80 : 563,458,346.70 = 230,520,075.40 : x
  2. Step 2: Convert to fraction form
    375,638,897.80/563,458,346.70 = 230,520,075.40/x
  3. Step 3: Cross multiply
    375,638,897.80x = 563,458,346.70 × 230,520,075.40
  4. Step 4: Simplify right side
    375,638,897.80x = 129,888,460,566,043,360
  5. Step 5: Solve for x
    x = 129,888,460,566,043,360/375,638,897.80
  6. Step 6: Final answer
    x = 345,780,113.10

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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.