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Finding the Fourth Proportional to 142,911,492,281.40, 214,367,238,422.10 and 142,911,492,281.40

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Solution

The fourth proportional to 142,911,492,281.40, 214,367,238,422.10 and 142,911,492,281.40 is: 214,367,238,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,911,492,281.40 : 214,367,238,422.10 = 142,911,492,281.40 : x
  2. Step 2: Convert to fraction form
    142,911,492,281.40/214,367,238,422.10 = 142,911,492,281.40/x
  3. Step 3: Cross multiply
    142,911,492,281.40x = 214,367,238,422.10 × 142,911,492,281.40
  4. Step 4: Simplify right side
    142,911,492,281.40x = 30,635,541,939,144,976,498,688
  5. Step 5: Solve for x
    x = 30,635,541,939,144,976,498,688/142,911,492,281.40
  6. Step 6: Final answer
    x = 214,367,238,422.10

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1.5x scale

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.