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Finding the Fourth Proportional to 470,841,312,181.60, 706,261,968,272.40 and 470,841,312,181.60

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Solution

The fourth proportional to 470,841,312,181.60, 706,261,968,272.40 and 470,841,312,181.60 is: 706,261,968,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,841,312,181.60 : 706,261,968,272.40 = 470,841,312,181.60 : x
  2. Step 2: Convert to fraction form
    470,841,312,181.60/706,261,968,272.40 = 470,841,312,181.60/x
  3. Step 3: Cross multiply
    470,841,312,181.60x = 706,261,968,272.40 × 470,841,312,181.60
  4. Step 4: Simplify right side
    470,841,312,181.60x = 332,537,311,885,336,348,983,296
  5. Step 5: Solve for x
    x = 332,537,311,885,336,348,983,296/470,841,312,181.60
  6. Step 6: Final answer
    x = 706,261,968,272.40

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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.