Finding the Fourth Proportional to 340,898,090,335.26, 470,440,611,005.22 and 184,468,283,119.62
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Solution
The fourth proportional to 340,898,090,335.26, 470,440,611,005.22 and 184,468,283,119.62 is: 254,566,905,131.48
Step by Step Solution
- Step 1: Write the proportion equation
340,898,090,335.26 : 470,440,611,005.22 = 184,468,283,119.62 : x - Step 2: Convert to fraction form
340,898,090,335.26/470,440,611,005.22 = 184,468,283,119.62/x - Step 3: Cross multiply
340,898,090,335.26x = 470,440,611,005.22 × 184,468,283,119.62 - Step 4: Simplify right side
340,898,090,335.26x = 86,781,371,821,877,937,307,648 - Step 5: Solve for x
x = 86,781,371,821,877,937,307,648/340,898,090,335.26 - Step 6: Final answer
x = 254,566,905,131.48
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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.