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Finding the Fourth Proportional to 3,020,696,064,963, 4,531,044,097,445 and 3,020,696,064,963

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Solution

The fourth proportional to 3,020,696,064,963, 4,531,044,097,445 and 3,020,696,064,963 is: 4,531,044,097,445

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020,696,064,963 : 4,531,044,097,445 = 3,020,696,064,963 : x
  2. Step 2: Convert to fraction form
    3,020,696,064,963/4,531,044,097,445 = 3,020,696,064,963/x
  3. Step 3: Cross multiply
    3,020,696,064,963x = 4,531,044,097,445 × 3,020,696,064,963
  4. Step 4: Simplify right side
    3,020,696,064,963x = 13,686,907,075,325,940,450,983,936
  5. Step 5: Solve for x
    x = 13,686,907,075,325,940,450,983,936/3,020,696,064,963
  6. Step 6: Final answer
    x = 4,531,044,097,445

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Double scale
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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.