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Finding the Fourth Proportional to 223,470,612,085.35, 335,205,918,128.01 and 223,470,612,085.35

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Solution

The fourth proportional to 223,470,612,085.35, 335,205,918,128.01 and 223,470,612,085.35 is: 335,205,918,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,470,612,085.35 : 335,205,918,128.01 = 223,470,612,085.35 : x
  2. Step 2: Convert to fraction form
    223,470,612,085.35/335,205,918,128.01 = 223,470,612,085.35/x
  3. Step 3: Cross multiply
    223,470,612,085.35x = 335,205,918,128.01 × 223,470,612,085.35
  4. Step 4: Simplify right side
    223,470,612,085.35x = 74,908,671,698,698,120,462,336
  5. Step 5: Solve for x
    x = 74,908,671,698,698,120,462,336/223,470,612,085.35
  6. Step 6: Final answer
    x = 335,205,918,128.01

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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.