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Finding the Fourth Proportional to 34,973,977,809.60, 52,460,966,714.40 and 34,973,977,809.60

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Solution

The fourth proportional to 34,973,977,809.60, 52,460,966,714.40 and 34,973,977,809.60 is: 52,460,966,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,973,977,809.60 : 52,460,966,714.40 = 34,973,977,809.60 : x
  2. Step 2: Convert to fraction form
    34,973,977,809.60/52,460,966,714.40 = 34,973,977,809.60/x
  3. Step 3: Cross multiply
    34,973,977,809.60x = 52,460,966,714.40 × 34,973,977,809.60
  4. Step 4: Simplify right side
    34,973,977,809.60x = 1,834,768,685,739,589,763,072
  5. Step 5: Solve for x
    x = 1,834,768,685,739,589,763,072/34,973,977,809.60
  6. Step 6: Final answer
    x = 52,460,966,714.40

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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.