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Finding the Fourth Proportional to 290,337,838,981.20, 435,506,758,471.80 and 290,337,838,981.20

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Solution

The fourth proportional to 290,337,838,981.20, 435,506,758,471.80 and 290,337,838,981.20 is: 435,506,758,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,337,838,981.20 : 435,506,758,471.80 = 290,337,838,981.20 : x
  2. Step 2: Convert to fraction form
    290,337,838,981.20/435,506,758,471.80 = 290,337,838,981.20/x
  3. Step 3: Cross multiply
    290,337,838,981.20x = 435,506,758,471.80 × 290,337,838,981.20
  4. Step 4: Simplify right side
    290,337,838,981.20x = 126,444,091,116,409,824,739,328
  5. Step 5: Solve for x
    x = 126,444,091,116,409,824,739,328/290,337,838,981.20
  6. Step 6: Final answer
    x = 435,506,758,471.80

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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.