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Finding the Fourth Proportional to 316,692,597,271.80, 475,038,895,907.70 and 316,692,597,271.80

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Solution

The fourth proportional to 316,692,597,271.80, 475,038,895,907.70 and 316,692,597,271.80 is: 475,038,895,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,692,597,271.80 : 475,038,895,907.70 = 316,692,597,271.80 : x
  2. Step 2: Convert to fraction form
    316,692,597,271.80/475,038,895,907.70 = 316,692,597,271.80/x
  3. Step 3: Cross multiply
    316,692,597,271.80x = 475,038,895,907.70 × 316,692,597,271.80
  4. Step 4: Simplify right side
    316,692,597,271.80x = 150,441,301,750,137,757,892,608
  5. Step 5: Solve for x
    x = 150,441,301,750,137,757,892,608/316,692,597,271.80
  6. Step 6: Final answer
    x = 475,038,895,907.70

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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.