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Finding the Fourth Proportional to 3,020,696,064,946.40, 4,531,044,097,419.40 and 3,020,696,064,946.40

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Solution

The fourth proportional to 3,020,696,064,946.40, 4,531,044,097,419.40 and 3,020,696,064,946.40 is: 4,531,044,097,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020,696,064,946.40 : 4,531,044,097,419.40 = 3,020,696,064,946.40 : x
  2. Step 2: Convert to fraction form
    3,020,696,064,946.40/4,531,044,097,419.40 = 3,020,696,064,946.40/x
  3. Step 3: Cross multiply
    3,020,696,064,946.40x = 4,531,044,097,419.40 × 3,020,696,064,946.40
  4. Step 4: Simplify right side
    3,020,696,064,946.40x = 13,686,907,075,173,393,950,048,256
  5. Step 5: Solve for x
    x = 13,686,907,075,173,393,950,048,256/3,020,696,064,946.40
  6. Step 6: Final answer
    x = 4,531,044,097,419.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.