Finding the Fourth Proportional to 473,808,845,606.88, 710,688,237,509.49 and 155,413,104,114.71
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Solution
The fourth proportional to 473,808,845,606.88, 710,688,237,509.49 and 155,413,104,114.71 is: 233,111,445,835.70
Step by Step Solution
- Step 1: Write the proportion equation
473,808,845,606.88 : 710,688,237,509.49 = 155,413,104,114.71 : x - Step 2: Convert to fraction form
473,808,845,606.88/710,688,237,509.49 = 155,413,104,114.71/x - Step 3: Cross multiply
473,808,845,606.88x = 710,688,237,509.49 × 155,413,104,114.71 - Step 4: Simplify right side
473,808,845,606.88x = 110,450,265,049,162,108,108,800 - Step 5: Solve for x
x = 110,450,265,049,162,108,108,800/473,808,845,606.88 - Step 6: Final answer
x = 233,111,445,835.70
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1.5x scale
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.