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Finding the Fourth Proportional to 178,015,104,809.20, 249,588,064,446.80 and 178,015,104,809.20

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Solution

The fourth proportional to 178,015,104,809.20, 249,588,064,446.80 and 178,015,104,809.20 is: 249,588,064,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,015,104,809.20 : 249,588,064,446.80 = 178,015,104,809.20 : x
  2. Step 2: Convert to fraction form
    178,015,104,809.20/249,588,064,446.80 = 178,015,104,809.20/x
  3. Step 3: Cross multiply
    178,015,104,809.20x = 249,588,064,446.80 × 178,015,104,809.20
  4. Step 4: Simplify right side
    178,015,104,809.20x = 44,430,445,451,622,463,045,632
  5. Step 5: Solve for x
    x = 44,430,445,451,622,463,045,632/178,015,104,809.20
  6. Step 6: Final answer
    x = 249,588,064,446.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.