Finding the Fourth Proportional to 1,560,729,046,971.10, 2,153,631,404,354.70 and 866,298,873,676.73
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Solution
The fourth proportional to 1,560,729,046,971.10, 2,153,631,404,354.70 and 866,298,873,676.73 is: 1,195,395,487,466.61
Step by Step Solution
- Step 1: Write the proportion equation
1,560,729,046,971.10 : 2,153,631,404,354.70 = 866,298,873,676.73 : x - Step 2: Convert to fraction form
1,560,729,046,971.10/2,153,631,404,354.70 = 866,298,873,676.73/x - Step 3: Cross multiply
1,560,729,046,971.10x = 2,153,631,404,354.70 × 866,298,873,676.73 - Step 4: Simplify right side
1,560,729,046,971.10x = 1,865,688,459,907,310,897,070,080 - Step 5: Solve for x
x = 1,865,688,459,907,310,897,070,080/1,560,729,046,971.10 - Step 6: Final answer
x = 1,195,395,487,466.61
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.