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Finding the Fourth Proportional to 42,513,640,018.40, 63,770,460,027.60 and 42,513,640,018.40

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Solution

The fourth proportional to 42,513,640,018.40, 63,770,460,027.60 and 42,513,640,018.40 is: 63,770,460,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,513,640,018.40 : 63,770,460,027.60 = 42,513,640,018.40 : x
  2. Step 2: Convert to fraction form
    42,513,640,018.40/63,770,460,027.60 = 42,513,640,018.40/x
  3. Step 3: Cross multiply
    42,513,640,018.40x = 63,770,460,027.60 × 42,513,640,018.40
  4. Step 4: Simplify right side
    42,513,640,018.40x = 2,711,114,381,421,153,091,584
  5. Step 5: Solve for x
    x = 2,711,114,381,421,153,091,584/42,513,640,018.40
  6. Step 6: Final answer
    x = 63,770,460,027.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.