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Finding the Fourth Proportional to 1,068,569,883,946, 1,602,854,825,918.90 and 1,068,569,883,946

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Solution

The fourth proportional to 1,068,569,883,946, 1,602,854,825,918.90 and 1,068,569,883,946 is: 1,602,854,825,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,569,883,946 : 1,602,854,825,918.90 = 1,068,569,883,946 : x
  2. Step 2: Convert to fraction form
    1,068,569,883,946/1,602,854,825,918.90 = 1,068,569,883,946/x
  3. Step 3: Cross multiply
    1,068,569,883,946x = 1,602,854,825,918.90 × 1,068,569,883,946
  4. Step 4: Simplify right side
    1,068,569,883,946x = 1,712,762,395,314,444,824,477,696
  5. Step 5: Solve for x
    x = 1,712,762,395,314,444,824,477,696/1,068,569,883,946
  6. Step 6: Final answer
    x = 1,602,854,825,918.90

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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.