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Finding the Fourth Proportional to 30,240,155,276.55, 42,238,262,182.05 and 30,240,155,276.55

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Solution

The fourth proportional to 30,240,155,276.55, 42,238,262,182.05 and 30,240,155,276.55 is: 42,238,262,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240,155,276.55 : 42,238,262,182.05 = 30,240,155,276.55 : x
  2. Step 2: Convert to fraction form
    30,240,155,276.55/42,238,262,182.05 = 30,240,155,276.55/x
  3. Step 3: Cross multiply
    30,240,155,276.55x = 42,238,262,182.05 × 30,240,155,276.55
  4. Step 4: Simplify right side
    30,240,155,276.55x = 1,277,291,606,996,821,737,472
  5. Step 5: Solve for x
    x = 1,277,291,606,996,821,737,472/30,240,155,276.55
  6. Step 6: Final answer
    x = 42,238,262,182.05

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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.