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Finding the Fourth Proportional to 221,709,312,085.60, 332,563,968,128.40 and 221,709,312,085.60

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Solution

The fourth proportional to 221,709,312,085.60, 332,563,968,128.40 and 221,709,312,085.60 is: 332,563,968,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,709,312,085.60 : 332,563,968,128.40 = 221,709,312,085.60 : x
  2. Step 2: Convert to fraction form
    221,709,312,085.60/332,563,968,128.40 = 221,709,312,085.60/x
  3. Step 3: Cross multiply
    221,709,312,085.60x = 332,563,968,128.40 × 221,709,312,085.60
  4. Step 4: Simplify right side
    221,709,312,085.60x = 73,732,528,598,204,974,891,008
  5. Step 5: Solve for x
    x = 73,732,528,598,204,974,891,008/221,709,312,085.60
  6. Step 6: Final answer
    x = 332,563,968,128.40

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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.