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Finding the Fourth Proportional to 97,009,078,980.60, 145,513,618,470.90 and 97,009,078,980.60

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Solution

The fourth proportional to 97,009,078,980.60, 145,513,618,470.90 and 97,009,078,980.60 is: 145,513,618,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,009,078,980.60 : 145,513,618,470.90 = 97,009,078,980.60 : x
  2. Step 2: Convert to fraction form
    97,009,078,980.60/145,513,618,470.90 = 97,009,078,980.60/x
  3. Step 3: Cross multiply
    97,009,078,980.60x = 145,513,618,470.90 × 97,009,078,980.60
  4. Step 4: Simplify right side
    97,009,078,980.60x = 14,116,142,106,996,434,272,256
  5. Step 5: Solve for x
    x = 14,116,142,106,996,434,272,256/97,009,078,980.60
  6. Step 6: Final answer
    x = 145,513,618,470.90

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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.