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Finding the Fourth Proportional to 470,841,308,907.60, 706,261,963,361.40 and 470,841,308,907.60

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Solution

The fourth proportional to 470,841,308,907.60, 706,261,963,361.40 and 470,841,308,907.60 is: 706,261,963,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,841,308,907.60 : 706,261,963,361.40 = 470,841,308,907.60 : x
  2. Step 2: Convert to fraction form
    470,841,308,907.60/706,261,963,361.40 = 470,841,308,907.60/x
  3. Step 3: Cross multiply
    470,841,308,907.60x = 706,261,963,361.40 × 470,841,308,907.60
  4. Step 4: Simplify right side
    470,841,308,907.60x = 332,537,307,260,732,997,369,856
  5. Step 5: Solve for x
    x = 332,537,307,260,732,997,369,856/470,841,308,907.60
  6. Step 6: Final answer
    x = 706,261,963,361.40

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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.