Finding the Fourth Proportional to 9,564,310,888,924, 14,346,466,333,390 and 9,564,310,888,924
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Solution
The fourth proportional to 9,564,310,888,924, 14,346,466,333,390 and 9,564,310,888,924 is: 14,346,466,333,390
Step by Step Solution
- Step 1: Write the proportion equation
9,564,310,888,924 : 14,346,466,333,390 = 9,564,310,888,924 : x - Step 2: Convert to fraction form
9,564,310,888,924/14,346,466,333,390 = 9,564,310,888,924/x - Step 3: Cross multiply
9,564,310,888,924x = 14,346,466,333,390 × 9,564,310,888,924 - Step 4: Simplify right side
9,564,310,888,924x = 137,214,064,170,023,542,736,289,792 - Step 5: Solve for x
x = 137,214,064,170,023,542,736,289,792/9,564,310,888,924 - Step 6: Final answer
x = 14,346,466,333,390
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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.