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Finding the Fourth Proportional to 269,939,809,931.40, 404,909,714,897.10 and 269,939,809,931.40

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Solution

The fourth proportional to 269,939,809,931.40, 404,909,714,897.10 and 269,939,809,931.40 is: 404,909,714,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,939,809,931.40 : 404,909,714,897.10 = 269,939,809,931.40 : x
  2. Step 2: Convert to fraction form
    269,939,809,931.40/404,909,714,897.10 = 269,939,809,931.40/x
  3. Step 3: Cross multiply
    269,939,809,931.40x = 404,909,714,897.10 × 269,939,809,931.40
  4. Step 4: Simplify right side
    269,939,809,931.40x = 109,301,251,478,700,523,782,144
  5. Step 5: Solve for x
    x = 109,301,251,478,700,523,782,144/269,939,809,931.40
  6. Step 6: Final answer
    x = 404,909,714,897.10

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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.