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Finding the Fourth Proportional to 1,604,243,235,390, 2,406,364,853,085 and 1,604,243,235,390

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Solution

The fourth proportional to 1,604,243,235,390, 2,406,364,853,085 and 1,604,243,235,390 is: 2,406,364,853,085

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,243,235,390 : 2,406,364,853,085 = 1,604,243,235,390 : x
  2. Step 2: Convert to fraction form
    1,604,243,235,390/2,406,364,853,085 = 1,604,243,235,390/x
  3. Step 3: Cross multiply
    1,604,243,235,390x = 2,406,364,853,085 × 1,604,243,235,390
  4. Step 4: Simplify right side
    1,604,243,235,390x = 3,860,394,537,441,862,329,827,328
  5. Step 5: Solve for x
    x = 3,860,394,537,441,862,329,827,328/1,604,243,235,390
  6. Step 6: Final answer
    x = 2,406,364,853,085

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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.