Finding the Fourth Proportional to 16,234,533,931,525, 22,404,461,749,658 and 10,070,509,297,827
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Solution
The fourth proportional to 16,234,533,931,525, 22,404,461,749,658 and 10,070,509,297,827 is: 13,897,802,136,753.19
Step by Step Solution
- Step 1: Write the proportion equation
16,234,533,931,525 : 22,404,461,749,658 = 10,070,509,297,827 : x - Step 2: Convert to fraction form
16,234,533,931,525/22,404,461,749,658 = 10,070,509,297,827/x - Step 3: Cross multiply
16,234,533,931,525x = 22,404,461,749,658 × 10,070,509,297,827 - Step 4: Simplify right side
16,234,533,931,525x = 225,624,340,362,740,278,541,418,496 - Step 5: Solve for x
x = 225,624,340,362,740,278,541,418,496/16,234,533,931,525 - Step 6: Final answer
x = 13,897,802,136,753.19
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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.