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Finding the Fourth Proportional to 65,302,459.40, 97,841,714.70 and 42,571,656.20

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Solution

The fourth proportional to 65,302,459.40, 97,841,714.70 and 42,571,656.20 is: 63,784,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302,459.40 : 97,841,714.70 = 42,571,656.20 : x
  2. Step 2: Convert to fraction form
    65,302,459.40/97,841,714.70 = 42,571,656.20/x
  3. Step 3: Cross multiply
    65,302,459.40x = 97,841,714.70 × 42,571,656.20
  4. Step 4: Simplify right side
    65,302,459.40x = 4,165,283,840,226,886.50
  5. Step 5: Solve for x
    x = 4,165,283,840,226,886.50/65,302,459.40
  6. Step 6: Final answer
    x = 63,784,486.50

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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.